Multiple solutions of degenerate perturbed elliptic problems involving a subcritical Sobolev exponent

DOI10.12775/TMNA.2000.021zbMath0979.35055OpenAlexW2548886979MaRDI QIDQ1590112

Vicenţiu D. Rădulescu, Florica-Corina St. Cîrstea

Publication date: 13 February 2002

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2000.021

zbMATH Keywords

perturbationunbounded domainweighted Sobolev spacemultiple solutionsdegenerate elliptic problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Perturbations in context of PDEs (35B20)

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On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function ⋮ Solutions of supercritical semilinear non-homogeneous elliptic problems ⋮ Multiple solutions for some strongly degenerate second order elliptic equations ⋮ Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations ⋮ Small perturbations for nonlinear Schrödinger equations with magnetic potential ⋮ Four positive solutions for a semilinear elliptic equation involving concave and convex nonlinearities ⋮ Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains

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