Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents

DOI10.1007/BF02803503zbMath1210.35121MaRDI QIDQ1766475

Shuangjie Peng, Dongsheng Kang

Publication date: 7 March 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nontrivial solutionelliptic problemsingular critical problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)

Related Items (13)

Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities ⋮ Existence of solutions for the critical elliptic system with inverse square potentials ⋮ On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents ⋮ Fractional Hardy-Sobolev elliptic problems ⋮ Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups ⋮ On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev–Hardy exponents on Carnot groups ⋮ Existence of sign-changing solutions for a nonlinear elliptic problem on \(\mathbb R^N\) with a Hardy term ⋮ On the Neumann problem with multiple critical nonlinearities ⋮ Singular elliptic problems in \(\mathbb R^N\) with critical Sobolev-Hardy exponents ⋮ On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms ⋮ Nontrivial solutions to semilinear elliptic problems involving two critical Hardy-Sobolev exponents ⋮ On a \(p\)-Laplace equation with multiple critical nonlinearities ⋮ Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential

Cites Work

• Unnamed Item
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Nodal solutions of elliptic equations with critical Sobolev exponents
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Nodal solutions of semilinear elliptic equations with critical exponent
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Positive solutions for singular critical elliptic problems.
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Selected new aspects of the calculus of variations in the large
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: Existence of solutions for elliptic problems with critical Sobolev-Hardy exponents