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

DOI10.1007/s00605-013-0564-4zbMath1300.35015OpenAlexW2073004784MaRDI QIDQ398690

Haining Fan, Xiaochun Liu

Publication date: 15 August 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0564-4

zbMATH Keywords

critical Sobolev exponentNehari manifoldmultiple positive solutionmini-max principlequasi-linear problem

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09)

Related Items

Existence of multiple solutions for a quasilinear Neumann problem with critical exponent, A quasilinear elliptic equation with critical growth on compact Riemannian manifold

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