Some monotonicity results for general systems of nonlinear elliptic PDEs
From MaRDI portal
Publication:294220
DOI10.1016/j.jde.2016.05.017zbMath1342.35101arXiv1511.01392OpenAlexW2143110100MaRDI QIDQ294220
Julien Brasseur, Serena Dipierro
Publication date: 9 June 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.01392
Related Items
Stable solutions of symmetric systems on Riemannian manifolds ⋮ ON STRONGLY INDEFINITE SYSTEMS INVOLVING FRACTIONAL ELLIPTIC OPERATORS
Cites Work
- On the uniqueness of solutions of a nonlocal elliptic system
- De Giorgi type results for elliptic systems
- Regularity of nonlocal minimal cones in dimension 2
- Geometric inequalities and symmetry results for elliptic systems
- Some monotonicity results for minimizers in the calculus of variations
- A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
- On entire solutions of an elliptic system modeling phase separations
- Hitchhiker's guide to the fractional Sobolev spaces
- Harmonic approximation and improvement of flatness in a singular perturbation problem
- Minimization of a fractional perimeter-Dirichlet integral functional
- Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian
- On phase-separation models: asymptotics and qualitative properties
- Some symmetry results for entire solutions of an elliptic system arising in phase separation
- Uniform Hölder regularity with small exponent in competition-fractional diffusion systems
- Monotonicity and 1-dimensional symmetry for solutions of an elliptic system arising in Bose-Einstein condensation
- Sharp energy estimates for nonlinear fractional diffusion equations
- On the De Giorgi Type Conjecture for an Elliptic System Modeling Phase Separation
- Strong Competition versus Fractional Diffusion: The Case of Lotka-Volterra Interaction
- Bernstein and De Giorgi type problems: new results via a geometric approach
- Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
- A Nonlocal Free Boundary Problem
- Nonlocal minimal surfaces
- Hölder gradient estimates for fully nonlinear elliptic equations
- Symmetry Results for Fractional Elliptic Systems and Related Problems
- An Extension Problem Related to the Fractional Laplacian