Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory

DOI10.1016/J.JDE.2015.02.007zbMath1317.35056arXiv1310.0679OpenAlexW2027527184MaRDI QIDQ2345574

Giuliana Palmieri, Perera, Kanishka, Anna Maria Candela

Publication date: 22 May 2015

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

Full work available at URL: https://arxiv.org/abs/1310.0679

zbMATH Keywords

Palais-Smale conditionasymptotically \(p\)-linear problemcohomological index theory\(p\)-Laplacian type equationpseudo-index theory

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms ⋮ Positive solutions for some generalized \(p \)-Laplacian type problems ⋮ Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type ⋮ Infinitely many solutions for some nonlinear supercritical problems with break of symmetry ⋮ Multiple Solutions for p-Laplacian Type Problems with an Asymptotically p-linear Term

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