Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents

DOI10.1016/j.camwa.2008.10.062zbMath1165.35369OpenAlexW2028008074MaRDI QIDQ2389082

Dongsheng Kang

Publication date: 14 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.10.062

zbMATH Keywords

quasilinear problemcritical exponentvariational methodsign-changing solutionHardy-Sobolev inequality

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Nonexistence of \(p\)-Laplace equations with multiple critical Sobolev-Hardy terms ⋮ Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents ⋮ The existence of solutions for quasilinear elliptic problems with combined critical Sobolev-Hardy terms ⋮ A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on singular critical growth elliptic equations
• 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
• 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.
• Quasilinear elliptic problems with critical exponents and Hardy terms
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents
• On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
• Solutions to critical elliptic equations with multi-singular inverse square potentials
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents