Three nontrivial solutions for some elliptic equation involving the $N$-Laplacian

DOI10.14232/EJQTDE.2015.1.2zbMath1349.35062OpenAlexW2281275214WikidataQ115238352 ScholiaQ115238352MaRDI QIDQ2803123

Sami Aouaoui

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.2

zbMATH Keywords

Palais-Smale conditionvariational methodlocal minimaTrudinger-Moser inequality\(N\)-Laplaciancritical exponential growth

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (3)

Existence of positive solutions for a class of quasilinear elliptic problems with exponential growth via the Nehari manifold method ⋮ On a regularity of biharmonic approximations to a nonlinear degenerate elliptic PDE ⋮ A weighted Trudinger-Moser type inequality and its applications to quasilinear elliptic problems with critical growth in the whole Euclidean space

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