| Publication | Date of Publication | Type |
|---|
| On Gaussian interpolation inequalities | 2024-03-13 | Paper |
| Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators | 2023-11-06 | Paper |
| Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations | 2023-06-23 | Paper |
| Parabolic methods for ultraspherical interpolation inequalities | 2023-06-23 | Paper |
| $\mathrm L^2$ Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states | 2023-04-24 | Paper |
| Corrigendum to: ``On the eigenvalues of operators with gaps. Application to Dirac operators | 2022-11-15 | Paper |
| Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking | 2022-10-30 | Paper |
| Sharpening of decay rates in Fourier based hypocoercivity methods | 2022-10-24 | Paper |
| Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities | 2022-10-22 | Paper |
| Keller and Lieb-Thirring estimates of the eigenvalues in the gap of Dirac operators | 2022-10-06 | Paper |
| Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence | 2022-09-18 | Paper |
| Hardy-Littlewood-Sobolev and related inequalities: stability | 2022-08-12 | Paper |
| Fractional hypocoercivity | 2022-03-14 | Paper |
| Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators | 2022-03-14 | Paper |
| Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system | 2022-02-03 | Paper |
| Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results | 2022-01-24 | Paper |
| Generalized Logarithmic Hardy–Littlewood–Sobolev Inequality | 2022-01-18 | Paper |
| Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities | 2021-12-03 | Paper |
| Social heterogeneity and the COVID-19 lockdown in a multi-group SEIR model | 2021-10-26 | Paper |
| Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3 | 2021-10-14 | Paper |
| \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system | 2021-08-18 | Paper |
| Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model | 2021-07-19 | Paper |
| Special macroscopic modes and hypocoercivity | 2021-05-11 | Paper |
| Hypocoercivity and sub-exponential local equilibria | 2021-01-22 | Paper |
| SYMMETRY AND SYMMETRY BREAKING: RIGIDITY AND FLOWS IN ELLIPTIC PDES | 2020-09-22 | Paper |
| Hypocoercivity without confinement | 2020-08-26 | Paper |
| Stability in Gagliardo-Nirenberg inequalities - Supplementary material | 2020-07-01 | Paper |
| Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method | 2020-07-01 | Paper |
| Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields | 2020-05-20 | Paper |
| A variational proof of Nash's inequality | 2020-05-13 | Paper |
| Diffusion and kinetic transport with very weak confinement | 2020-05-11 | Paper |
| Improved interpolation inequalities and stability | 2020-05-11 | Paper |
| Interpolation inequalities in \(\text{W}^{1,p}(\mathbb{S}^1)\) and \textit{carré du champ} methods | 2020-01-03 | Paper |
| Existence and stability of infinite time blow-up in the Keller-Segel system | 2019-11-27 | Paper |
| Reverse Hardy-Littlewood-Sobolev inequalities | 2019-11-21 | Paper |
| φ-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations | 2019-03-27 | Paper |
| Diffusion with very weak confinement | 2019-01-24 | Paper |
| Magnetic rings | 2018-06-12 | Paper |
| Interpolation inequalities and spectral estimates for magnetic operators | 2018-05-22 | Paper |
| Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates | 2018-03-23 | Paper |
| Reverse Hardy-Littlewood-Sobolev inequalities | 2018-03-16 | Paper |
| Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization | 2018-01-25 | Paper |
| Weighted interpolation inequalities: a perturbation approach | 2017-10-25 | Paper |
| Flows and functional inequalities for fractional operators | 2017-09-01 | Paper |
| Interpolation inequalities on the sphere: linear vs. nonlinear flows | 2017-07-27 | Paper |
| Onofri inequalities and rigidity results | 2017-03-13 | Paper |
| Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities | 2017-03-01 | Paper |
| Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities | 2016-12-19 | Paper |
| Weighted fast diffusion equations II: sharp asymptotic rates of convergence in relative error by entropy methods | 2016-12-19 | Paper |
| Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces | 2016-12-16 | Paper |
| Optimal functional inequalities for fractional operators on the sphere and applications | 2016-10-24 | Paper |
| Nonlinear diffusions: extremal properties of Barenblatt profiles, best matching and delays | 2016-04-20 | Paper |
| Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities | 2016-03-31 | Paper |
| Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities | 2016-03-11 | Paper |
| Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability | 2015-11-11 | Paper |
| Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities | 2015-11-09 | Paper |
| The Moser-Trudinger-Onofri inequality | 2015-10-16 | Paper |
| Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders | 2015-09-16 | Paper |
| Sharp interpolation inequalities on the sphere: new methods and consequences | 2015-07-06 | Paper |
| The Euclidean Onofri Inequality in Higher Dimensions | 2015-05-20 | Paper |
| Hypocoercivity for linear kinetic equations conserving mass | 2015-04-22 | Paper |
| Best matching Barenblatt profiles are delayed | 2015-02-27 | Paper |
| Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics | 2014-12-08 | Paper |
| One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows | 2014-10-15 | Paper |
| Existence of sign changing solutions for an equation with a weighted \(p\)-Laplace operator | 2014-10-01 | Paper |
| Asymptotic Estimates for the Parabolic-Elliptic Keller-Segel Model in the Plane | 2014-08-08 | Paper |
| Spectral estimates on the sphere | 2014-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5494656 | 2014-07-28 | Paper |
| Nonlinear flows and rigidity results on compact manifolds | 2014-07-25 | Paper |
| Sobolev and Hardy-Littlewood-Sobolev inequalities | 2014-07-07 | Paper |
| Improved interpolation inequalities, relative entropy and fast diffusion equations | 2014-05-14 | Paper |
| Branches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equations | 2014-04-30 | Paper |
| Improved interpolation inequalities on the sphere | 2014-03-10 | Paper |
| Symmetry of extremals of functional inequalities via spectral estimates for linear operators | 2014-01-14 | Paper |
| EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE | 2013-12-17 | Paper |
| Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes | 2013-10-18 | Paper |
| Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates | 2013-09-26 | Paper |
| Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion | 2013-08-05 | Paper |
| A scenario for symmetry breaking in Caffarelli–Kohn–Nirenberg inequalities | 2013-05-22 | Paper |
| Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator | 2013-05-22 | Paper |
| Sharp interpolation inequalities on the sphere: new methods and consequences | 2013-03-15 | Paper |
| From Poincaré to Logarithmic Sobolev Inequalities: A Gradient Flow Approach | 2013-02-04 | Paper |
| Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities | 2013-02-02 | Paper |
| A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities | 2012-12-13 | Paper |
| About Existence, Symmetry and Symmetry Breaking for Extremal Functions of Some Interpolation Functional Inequalities | 2012-09-14 | Paper |
| Improved Poincaré inequalities | 2012-09-06 | Paper |
| Extremal functions for Caffarelli—Kohn—Nirenberg and logarithmic Hardy inequalities | 2012-09-04 | Paper |
| Extremal functions in some interpolation inequalities: Symmetry, symmetry breaking and estimates of the best constants | 2012-05-18 | Paper |
| Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis | 2012-02-09 | Paper |
| Fast diffusion equations: matching large time asymptotics by relative entropy methods | 2012-01-18 | Paper |
| Radial symmetry and symmetry breaking for some interpolation inequalities | 2011-11-08 | Paper |
| Thermal effects in gravitational Hartree systems | 2011-09-20 | Paper |
| Non-existence and uniqueness results for supercritical semilinear elliptic equations | 2011-02-14 | Paper |
| Relative equilibria in continuous stellar dynamics | 2010-11-29 | Paper |
| Improved intermediate asymptotics for the heat equation | 2010-11-19 | Paper |
| Erratum to ``On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients | 2010-10-19 | Paper |
| A logarithmic Hardy inequality | 2010-09-10 | Paper |
| Symmetry and nonuniformly elliptic operators. | 2010-06-15 | Paper |
| Stochastic Stokes' Drift, Homogenized Functional Inequalities, and Large Time Behavior of Brownian Ratchets | 2010-03-15 | Paper |
| On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities | 2009-11-18 | Paper |
| Asymptotic behaviour for small mass in the two-dimensional parabolic-elliptic Keller-Segel model | 2009-11-10 | Paper |
| The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions | 2009-09-16 | Paper |
| The two-dimensional Keller-Segel model after blow-up | 2009-09-16 | Paper |
| Asymptotics of the fast diffusion equation via entropy estimates | 2009-05-13 | Paper |
| Hypocoercivity for kinetic equations with linear relaxation terms | 2009-05-13 | Paper |
| Multiplicity results for the assigned Gauss curvature problem in \(\mathbb R^2\) | 2009-05-12 | Paper |
| ORBITALLY STABLE STATES IN GENERALIZED HARTREE–FOCK THEORY | 2009-04-28 | Paper |
| Harnack inequalities and discrete-continuous error estimates for a chain of atoms with two-body interactions | 2009-04-22 | Paper |
| A new class of transport distances between measures | 2009-03-24 | Paper |
| Localized minimizers of flat rotating gravitational systems | 2008-11-28 | Paper |
| Compactness properties for trace-class operators and applications to quantum mechanics | 2008-11-25 | Paper |
| Lieb-Thirring inequalities with improved constants | 2008-11-12 | Paper |
| Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels | 2008-10-20 | Paper |
| On the Bakry-Emery criterion for linear diffusions and weighted porous media equations | 2008-08-14 | Paper |
| Hardy-type estimates for Dirac operators | 2008-06-19 | Paper |
| Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators | 2008-06-18 | Paper |
| Characterization of the critical magnetic field in the Dirac–Coulomb equation | 2008-05-27 | Paper |
| Interpolation between logarithmic Sobolev and Poincaré inequalities | 2008-03-13 | Paper |
| Multiple bubbling for the exponential nonlinearity in the slightly supercritical case | 2008-03-06 | Paper |
| \(L^q\)-functional inequalities and weighted porous media equations | 2008-02-18 | Paper |
| Stability of the Hartree-Fock model with temperature | 2008-02-12 | Paper |
| Relativistic hydrogenic atoms in strong magnetic fields | 2007-10-11 | Paper |
| A QUALITATIVE STUDY OF LINEAR DRIFT-DIFFUSION EQUATIONS WITH TIME-DEPENDENT OR DEGENERATE COEFFICIENTS | 2007-07-18 | Paper |
| Geometry of phase space and solutions of semilinear elliptic equations in a ball | 2007-05-31 | Paper |
| A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities | 2007-05-14 | Paper |
| Hardy-Poincaré inequalities and applications to nonlinear diffusions | 2007-05-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3431715 | 2007-04-12 | Paper |
| A weighted Moser-Trudinger inequality and its relation to the Caffarelli-Kohn-Nirenberg inequalities in two space dimensions | 2007-03-29 | Paper |
| Stability for the Gravitational Vlasov–Poisson System in Dimension Two | 2007-02-15 | Paper |
| Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations | 2007-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3419871 | 2007-01-31 | Paper |
| Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems | 2006-09-25 | Paper |
| General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators | 2006-09-13 | Paper |
| On the continuity of the time derivative of the solution to the parabolic obstacle problem with variable coefficients | 2006-04-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5290122 | 2006-04-26 | Paper |
| Convex Sobolev inequalities and spectral gap | 2006-03-20 | Paper |
| Entropy methods for kinetic models of traffic flow | 2006-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5702801 | 2005-11-08 | Paper |
| Refined convex Sobolev inequalities | 2005-09-22 | Paper |
| The Brezis-Nirenberg problem near criticality in dimension 3 | 2005-05-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4673210 | 2005-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4664493 | 2005-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4656852 | 2005-03-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4656863 | 2005-03-14 | Paper |
| Optimal critical mass in the two dimensional Keller-Segel model in \(R^2\) | 2005-02-22 | Paper |
| An analytical proof of Hardy-like inequalities related to the Dirac operator | 2004-11-29 | Paper |
| Oscillating minimizers of a fourth-order problem invariant under scaling | 2004-11-22 | Paper |
| Entropies and equilibria of many-particle systems: an essay on recent research | 2004-10-28 | Paper |
| A phase plane analysis of the ``multi-bubbling phenomenon in some slightly supercritical equations | 2004-10-28 | Paper |
| On the long-time behavior of the quantum Fokker-Planck equation | 2004-10-05 | Paper |
| Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case | 2004-09-23 | Paper |
| Asymptotic behaviour for the Vlasov-Poisson system in the stellar-dynamics case | 2004-09-22 | Paper |
| Nonlinear diffusions, hypercontractivity and the optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality | 2004-08-06 | Paper |
| Asymptotic behavior of nonlinear diffusions | 2004-03-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4450081 | 2004-02-15 | Paper |
| Relative entropies for kinetic equations in bounded domains (irreversibility, stationary solutions, uniqueness) | 2004-01-05 | Paper |
| ``Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem. | 2003-11-10 | Paper |
| Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. | 2003-09-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4329320 | 2003-08-05 | Paper |
| Convexity estimates for nonlinear elliptic equations and application to free boundary problems | 2003-04-14 | Paper |
| The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality. | 2003-04-09 | Paper |
| TIME-DEPENDENT RESCALINGS AND LYAPUNOV FUNCTIONALS FOR THE VLASOV–POISSON AND EULER–POISSON SYSTEMS, AND FOR RELATED MODELS OF KINETIC EQUATIONS, FLUID DYNAMICS AND QUANTUM PHYSICS | 2003-03-16 | Paper |
| Nodal solutions for a sublinear elliptic equation | 2003-03-11 | Paper |
| Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations | 2003-03-10 | Paper |
| Nonlinear Stability in Lp for a Confined System of Charged Particles | 2003-01-05 | Paper |
| Radial singular solutions of a critical problem in a ball | 2002-12-10 | Paper |
| LARGE TIME ASYMPTOTICS OF NONLINEAR DRIFT-DIFFUSION SYSTEMS WITH POISSON COUPLING | 2002-07-22 | Paper |
| On asymmetric quasiperiodic solutions of Hartree-Fock systems | 2002-07-04 | Paper |
| An introduction to kinetic equations: The Vlasov-Poisson system and the Boltzmann equation | 2002-06-06 | Paper |
| On the eigenvalues of operators with gaps. Application to Dirac operators | 2002-04-08 | Paper |
| Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater's models | 2002-02-04 | Paper |
| Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian | 2002-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4519063 | 2001-11-01 | Paper |
| Variational characterization for eigenvalues of Dirac operators | 2001-09-04 | Paper |
| On singular limits of mean-field equations. | 2001-08-12 | Paper |
| Time-dependent rescalings and Lyapunov functionals for some kinetic and fluid models | 2001-06-28 | Paper |
| On Maxwellian equilibria of insulated semiconductors | 2001-01-17 | Paper |
| Classification of the solutions of semilinear elliptic problems in a ball | 2000-12-19 | Paper |
| Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems | 2000-12-04 | Paper |
| Symmetry And Monotonicity Properties For Positive Solutions Of Semi-Linear Elliptic PDE'S | 2000-10-30 | Paper |
| Relative entropies for the Vlasov–Poisson system in bounded domains | 2000-08-10 | Paper |
| Symétrie des solutions d'équations semi-linéaires elliptiques | 2000-03-08 | Paper |
| Convexity estimates for nonlinear elliptic equations and application to free boundary problems | 2000-01-01 | Paper |
| A remark on the critical explosion parameter for a semilinear elliptic equation in a generic domain using an explosion time of an ordinary differential equation | 1999-10-14 | Paper |
| Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (large time behavior and steady states) | 1999-10-05 | Paper |
| On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials | 1995-02-01 | Paper |
| Kinetic models and quantum effects: A modified Boltzmann equation for Fermi-Dirac particles | 1994-11-14 | Paper |
| STATIONARY STATES IN PLASMA PHYSICS: MAXWELLIAN SOLUTIONS OF THE VLASOV-POISSON SYSTEM | 1992-06-28 | Paper |
| Existence De Solutions Symetriques Pour Un Modele De Champs De Mesons:Le Modele D' Adkins Et Nappi | 1992-06-25 | Paper |
| On long time asymptotics of the vlasov—poisson—boltzmann equation | 1992-06-25 | Paper |
