zbMath1214.35023MaRDI QIDQ3065143
Wenxiong Chen, Congming Li
Publication date: 4 January 2011
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liouville theorems involving the fractional Laplacian on a half space,
Monotonicity and symmetry of solutions to fractional Laplacian in strips,
Properties of solutions to fractional \(p\)-subLaplace equations on the Heisenberg group,
Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell system involving the fractional Laplacian,
Critical Stein-Weiss elliptic systems: symmetry, regularity and asymptotic properties of solutions,
Some overdetermined problems for the fractional Laplacian equation on the exterior domain and the annular domain,
On elliptic equations with Stein-Weiss type convolution parts,
On positive solutions of integral equations with the weighted Bessel potentials,
On scalar curvature rigidity of vacuum static spaces,
Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system,
Regularity, symmetry and asymptotic behaviour of solutions for some Stein-Weiss-type integral systems,
Liouville type theorems for singular integral equations and integral systems,
Radial symmetry results for fractional Laplacian systems,
Some properties of positive solutions for an integral system with the double weighted Riesz potentials,
Liouville-type theorem for a nonlocal operator on the half plane,
Direct method of moving planes for logarithmic Laplacian system in bounded domains,
On existence and nonexistence of positive solutions of an elliptic system with coupled terms,
A Liouville type theorem to an extension problem relating to the Heisenberg group,
Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations,
A direct method of moving planes for the system of the fractional Laplacian,
Qualitative properties of solutions of an integral equation associated with the Benjamin-Ono-Zakharov-Kuznetsov operator,
Liouville type theorem for fractional Laplacian system,
Maximum principles for the fractional p-Laplacian and symmetry of solutions,
Symmetry and regularity of positive solutions to integral systems with Bessel potential,
A unified approach to symmetry for semilinear equations associated to the Laplacian in \(\mathbb{R}^N\),
Symmetric properties for system involving uniformly elliptic nonlocal operators,
Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials,
Standing waves of nonlinear fractional \(p\)-Laplacian Schrödinger equation involving logarithmic nonlinearity,
Subelliptic equations with singular nonlinearities on the Heisenberg group,
Liouville type theorems for integral equations and integral systems,
A Liouville type theorem for poly-harmonic Dirichlet problems in a half space,
Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion,
Regularity of solutions for an integral system of Wolff type,
Asymptotic behavior of positive solutions of a nonlinear integral system,
Regularity and symmetry for solutions to a system of weighted integral equations,
Symmetry of viscosity solutions for fully nonlinear parabolic equations,
Regularity lifting of weak solutions for nonlinear sub-Laplace equations on homogeneous groups,
Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems,
Potential characterizations of geodesic balls on hyperbolic spaces: a moving plane approach,
Some properties of solutions for a nonlinear integral system,
On the regularity of positive solutions of a class of Choquard type equations,
Symmetry of solutions for a fractional system,
Classification of nonnegative classical solutions to third-order equations,
Super poly-harmonic property of solutions for Navier boundary problems on a half space,
Maximum principles and monotonicity of solutions for fractional \(p\)-equations in unbounded domains,
Liouville type theorems for Schrödinger system with Navier boundary conditions in a half space,
A perturbation result for the \(Q_{\gamma}\) curvature problem on \(\mathbb S^n\),
Liouville type theorems for a system of integral equations on upper half space,
Characterization of balls in terms of Bessel-potential integral equation,
Fractional equations with indefinite nonlinearities,
Direct methods on fractional equations,
Regularity and classification of solutions to static Hartree equations involving fractional Laplacians,
On finite energy solutions of fractional order equations of the Choquard type,
Nonexistence and symmetry of solutions for Schrödinger systems involving fractional Laplacian,
Wolff potentials and regularity of solutions to integral systems on spaces of homogeneous type,
Liouville type theorem for nonlinear elliptic equation with general nonlinearity,
The properties of positive solutions to semilinear equations involving the fractional Laplacian,
Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction,
On a coupled Schrödinger system with Stein-Weiss type convolution part,
Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\),
Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian,
Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians,
A direct method of moving planes for the fractional Laplacian,
Radial symmetry of solution for fractional \(p\)- Laplacian system,
Maximum principles for nonlocal double phase equations and monotonicity of solutions,
Classification of positive solutions to an integral system with the poly-harmonic extension operator,
Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes,
Brown-York mass and compactly supported conformal deformations of scalar curvature,
Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space,
Monotonicity and symmetry of solutions to fractional Laplacian equation,
Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions,
The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations,
A system of integral equations on half space,
Regularity and radial symmetry of positive solutions for a higher order elliptic system,
Necessary conditions for existence results of some integral system,
An integral equation involving Bessel potentials on half space,
Liouville type theorems for Schrödinger systems,
A direct method of moving planes to fractional power subLaplace equations on the Heisenberg group,
On the Poisson equation of \(p\)-Laplacian and the nonlinear Hardy-type problems,
Symmetry of separable functions and its applications to Choquard type equations,
Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type,
The regularity lifting methods for nonnegative solutions of Lane-Emden system,
Liouville theorems and classification results for a nonlocal Schrödinger equation,
Positive solutions to nonlinear systems involving fully nonlinear fractional operators,
Nonlinear elliptic systems involving the fractional Laplacian in the unit ball and on a half space,
Regularity and nonexistence of solutions for a system involving the fractional Laplacian,
Symmetry and nonexistence of positive solutions for fully nonlinear nonlocal systems,
Classification of anti-symmetric solutions to nonlinear fractional Laplace equations,
Hardy-Littlewood-Sobolev inequalities with the fractional Poisson kernel and their applications in PDEs,
Liouville theorem and classification of positive solutions for a fractional Choquard type equation,
An overdetermined problem in Riesz-potential and fractional Laplacian,
Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities,
A Liouville type result for Schrödinger equation on half-spaces,
Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part,
Asymptotic behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities,
Qualitative analysis on logarithmic Schrödinger equation with general potential,
Notes on symmetric and monotonic solutions of a nonlocal diffusive logistic equation,
Classification of positive solutions for a static Schrödinger-Maxwell equation with fractional Laplacian,
Peak solutions for the fractional Nirenberg problem,
Qualitative properties of solutions to an integral system associated with the Bessel potential,
Integrability of positive solutions of the integral system involving the Riesz potentials,
Liouville-type theorems for a system of fractional Laplacian equations,
Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation,
Hardy–Littlewood–Sobolev inequality and existence of the extremal functions with extended kernel,
Classification of solutions for some mixed order elliptic system,
Gagliardo-Nirenberg-Sobolev Inequality: An Induction Proof,
On integral equations of Matukuma type,
Complete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphere,
Overdetermined problems for negative power integral equations on bounded domain,
Classification of solutions for mixed order conformally system with Hartree-type nonlinearity in ℝn,
Classification of Solutions to Conformally Invariant Systems with Mixed Order and Exponentially Increasing or Nonlocal Nonlinearity,
A direct method of moving planes for the fractional \(p\)-Laplacian system with negative powers,
Qualitative properties for solutions to conformally invariant fourth order critical systems,
Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity,
Sharp reversed Hardy–Littlewood–Sobolev inequality with extension kernel,
Classification and qualitative analysis of positive solutions of the nonlinear Hartree type system,
Finite-time blow-up in the Cauchy problem of a Keller-Segel system with logistic source,
Properties of Solutions to Fractional Laplace Equation with Singular Term,
A system of superlinear elliptic equations in a cylinder,
Liouville theorem and qualitative properties of solutions for an integral system,
Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian,
Stein-Weiss type inequality on the upper half space and its applications,
Liouville type theorems, a priori estimates and existence of solutions for critical and super-critical order Hardy-Hénon type equations in \(\mathbb{R}^n\),
A Hopf type lemma for fractional equations,
Positive solutions to semilinear elliptic equations involving a weighted fractional Lapalacian,
A Liouville theorem for the higher-order fractional Laplacian,
Asymptotics of ground states for fractional Hénon systems,
Nonexistence results for a fractional Hénon–Lane–Emden equation on a half-space,
Symmetry of positive solutions for equations involving higher order fractional Laplacian,
The characters for integral equations system on exterior domain,
Radial symmetry for a generalized nonlinear fractional p-Laplacian problem,
Asymptotic estimates for an integral equation in theory of phase transition,
Partially overdetermined problem in some integral equations