Multiple positive solutions for a class of quasi-linear elliptic equations involving critical Sobolev exponent

DOI10.1016/S0252-9602(14)60073-4zbMath1324.35033OpenAlexW2006284604MaRDI QIDQ2350413

Haining Fan, Xiaochun Liu

Publication date: 29 June 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(14)60073-4

zbMATH Keywords

quasilinear problemcritical Sobolev exponentmultiple positive solutionsNehari manifoldminimax principle

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

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A quasilinear elliptic equation with critical growth on compact Riemannian manifold

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