Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains

DOI10.1515/anona-2020-0026zbMath1430.35100arXiv1903.03450OpenAlexW2967097627MaRDI QIDQ2008882

Divya Goel, Konijeti Sreenadh

Publication date: 26 November 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03450

zbMATH Keywords

positive solutionsannular domainnonhomogeneous Choquard equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (5)

Positive solutions to multi-critical elliptic problems ⋮ Ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation ⋮ Positive solutions for Choquard equation in exterior domains ⋮ Multiple solutions to Choquard equation in exterior domain ⋮ Multi-bump solutions for quasilinear elliptic equations with variable exponents and critical growth in ℝN

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nodal solutions for the Choquard equation
• Semi-classical states for the Choquard equation
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
• Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
• Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight
• Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
• Multiple solutions for nonhomogeneous Choquard equation involving Hardy-Littlewood-Sobolev critical exponent
• Positive solutions for critical inhomogeneous elliptic problems in non-contractible domains
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• A multiplicity result for a variational problem with lack of compactness
• A Note on an Equation with Critical Exponent
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Remarks on finding critical points
• Critical points and nonlinear variational problems
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• MULTIPLE SOLUTIONS OF NONHOMOGENEOUS ELLIPTIC EQUATIONS WITH CRITICAL NONLINEARITY ON SYMMETRIC DOMAINS
• Multiple solutions for a non-homogeneous elliptic equation at the critical exponent
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N
• Existence of groundstates for a class of nonlinear Choquard equations
• Multiple positive solutions of non-homogeneous elliptic equations in exterior domains
• Multiple existence of solutions for a nonhomogeneous elliptic problem on \(\mathbb R^N\)

This page was built for publication: Critical growth elliptic problems involving Hardy-Littlewood-Sobolev critical exponent in non-contractible domains