On the quasilinear elliptic problem with a critical Hardy-Sobolev exponent and a Hardy term

DOI10.1016/J.NA.2007.08.022zbMath1153.35032OpenAlexW1965795006MaRDI QIDQ949668

Dongsheng Kang

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.022

zbMATH Keywords

nontrivial solutionvariational methodquasilinear elliptic problemHardy-Sobolev inequality

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for higher-order elliptic equations (35J35)

Related Items (7)

A nonlinear \(p\)-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions ⋮ Existence of positive solutions for a quasilinear elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ A variational approach to a singular elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ On a \(p\)-Laplacian system with critical Hardy--Sobolev exponents and critical Sobolev exponents ⋮ Existence and multiplicity of solutions to a singular elliptic system with critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Multiplicity of solutions for an elliptic problem with critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Fractional \(p\)-Laplacian problems with Hardy terms and critical exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• On the elliptic problems with critical weighted Sobolev-Hardy exponents
• Subcritical perturbations of a singular quasilinear elliptic equation involving the critical Hardy-Sobolev exponent
• Hardy inequalities and some critical elliptic and parabolic problems
• On the first eigenfunction of a perturbed Hardy-Sobolev operator
• Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations
• Quasilinear elliptic problems with critical exponents and Hardy terms
• Some results on \(p\)-Laplace equations with a critical growth term.
• A strong maximum principle for some quasilinear elliptic equations
• Critical growth problems for polyharmonic operators
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

This page was built for publication: On the quasilinear elliptic problem with a critical Hardy-Sobolev exponent and a Hardy term