\(p\)-Laplacian problems with nonlinearities interacting with the spectrum

DOI10.1007/S00030-013-0226-1zbMath1280.35059OpenAlexW1997677258MaRDI QIDQ385579

Rossella Bartolo, Addolorata Salvatore, Anna Maria Candela

Publication date: 2 December 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-013-0226-1

zbMATH Keywords

variational methods\(p\)-Laplacianlinkingresonant problemasymptotically \(p\)-linear problempseudo-genus

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) General topics in linear spectral theory for PDEs (35P05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Existence of minimizers for some quasilinear elliptic problems ⋮ Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms ⋮ Multiple solutions for perturbed quasilinear elliptic problems ⋮ Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems ⋮ Asymptotically linear fractional \(p\)-Laplacian equations ⋮ Multiplicity results for a class of quasilinear elliptic problems ⋮ Periodic solutions for a fractional asymptotically linear problem ⋮ Multiple Solutions for p-Laplacian Type Problems with an Asymptotically p-linear Term ⋮ Multiple solutions for \(p\)-Laplacian type problems with asymptotically \(p\)-linear terms via a cohomological index theory

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