Partial differential equations from theory to applications: dedicated to Alberto Farina, on the occasion of his 50th birthday
DOI10.3934/mine.2023050OpenAlexW4292315206WikidataQ114022459 ScholiaQ114022459MaRDI QIDQ6195591
Luca Lombardini, Serena Dipierro
Publication date: 14 March 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mine.2023050
rigidityapplicationspartial differential equationsnonlocal equationsregularity theorysymmetry and classification results
Boundary value problems for second-order elliptic equations (35J25) Biographies, obituaries, personalia, bibliographies (01A70) History of partial differential equations (35-03) Quasilinear elliptic equations with (p)-Laplacian (35J92) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Entire solutions of completely coercive quasilinear elliptic equations
- Entire solutions of completely coercive quasilinear elliptic equations. II
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems
- Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\)
- One-dimensional symmetry of bounded entire solutions of some elliptic equations
- A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime
- A sharp Bernstein-type theorem for entire minimal graphs
- Symmetry for solutions of semilinear elliptic equations in \(\mathbb{R}^N\) and related conjectures
- Bernstein-Moser-type results for nonlocal minimal graphs
- Exponential decay of a first order linear Volterra equation
- Second-order asymptotics of the fractional perimeter as \(s \to 1\)
- Classification and Liouville-type theorems for semilinear elliptic equations in unbounded domains
- A note on quasilinear equations with fractional diffusion
- Unique continuation from the edge of a crack
- Comparison principles for viscosity solutions of elliptic branches of fully nonlinear equations independent of the gradient
- Fractional Laplacians on ellipsoids
- Recent rigidity results for graphs with prescribed mean curvature
- The moon lander optimal control problem revisited
- A note on the Kuramoto-Sivashinsky equation with discontinuity
- Gradient Lagrangian systems and semilinear PDE
- Strict starshapedness of solutions to the horizontal \(p\)-Laplacian in the Heisenberg group
- A triviality result for semilinear parabolic equations
- On the boundary Harnack principle in Hölder domains
- A minimizing-movements approach to GENERIC systems
- Comparison principles and applications to mathematical modelling of vegetal meta-communities
- Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type
- Remarks on an overdetermined boundary value problem
- Stable solutions of \(-\delta u=e^u\) on \(\mathbb R^N\)
- Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications
- $1$D symmetry for solutions of semilinear and quasilinear elliptic equations
- 1D symmetry for semilinear PDEs from the limit interface of the solution
- Long-range Phase Coexistence Models: Recent Progress on the Fractional Allen-Cahn Equation
- Bernstein and De Giorgi type problems: new results via a geometric approach
- On the classification of solutions of -Δ𝑢=𝑒^{𝑢} on ℝ^{ℕ}: Stability outside a compact set and applications
- Interpolating estimates with applications to some quantitative symmetry results
This page was built for publication: Partial differential equations from theory to applications: dedicated to Alberto Farina, on the occasion of his 50th birthday