Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions

DOI10.1515/fca-2020-0061zbMath1474.35261arXiv1902.08925OpenAlexW3095970196MaRDI QIDQ2209202

José Carmona, Alejandro Ortega, Tommaso Leonori, Eduardo Colorado

Publication date: 28 October 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08925

zbMATH Keywords

mixed boundary conditionsfractional Laplacianconcave-convex problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (3)

Concave-convex critical problems for the spectral fractional Laplacian with mixed boundary conditions ⋮ On a nonlinear elliptic fractional problem under mixed boundary condition: effect of the geometry of the domain ⋮ Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities

Cites Work

• Unnamed Item
• On some critical problems for the fractional Laplacian operator
• A critical fractional equation with concave-convex power nonlinearities
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli-Kohn-Nirenberg inequalities. Application to some doubly critical nonlinear elliptic problems
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave-convex right-hand side
• Symmetry and related properties via the maximum principle
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Bounds for the heat diffusion through windows of given area
• Semilinear elliptic equations with sublinear indefinite nonlinearities
• Qualitative properties of solutions for an integral equation
• Semilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions.
• Some nonexistence results for positive solutions of elliptic equations in unbounded domains.
• Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data
• Dual variational methods in critical point theory and applications
• Some global results for nonlinear eigenvalue problems
• A symmetry problem in potential theory
• The Brezis-Nirenberg problem for the fractional Laplacian with mixed Dirichlet-Neumann boundary conditions
• A concave—convex elliptic problem involving the fractional Laplacian
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• A priori bounds for positive solutions of nonlinear elliptic equations
• The local regularity of solutions of degenerate elliptic equations
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Some Remarks on Elliptic Equations with Singular Potentials and Mixed Boundary Conditions
• A Dirichlet problem involving critical exponents
• An Extension Problem Related to the Fractional Laplacian

This page was built for publication: Semilinear fractional elliptic problems with mixed Dirichlet-Neumann boundary conditions