Multiple positive solutions for a quasilinear elliptic equation involving singular potential and critical Sobolev exponent

DOI10.1016/j.na.2009.01.005zbMath1170.35411OpenAlexW2012144509MaRDI QIDQ1030061

Haidong Liu

Publication date: 1 July 2009

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.2009.01.005

zbMATH Keywords

mountain pass theoremcritical Sobolev exponentmultiple positive solutionssingular potentialekeland variational principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ Existence of infinitely many solutions for the \((p, q)\)-Laplace equation ⋮ A class of \(p\)-\(q\)-Laplacian type equation with concave-convex nonlinearities in bounded domain ⋮ Existence of multiple solutions for quasilinear elliptic equation with critical Sobolev–Hardy terms

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