Perturbation from symmetry for indefinite semilinear elliptic equations

DOI10.1007/s00229-008-0228-1zbMath1173.35046OpenAlexW1979527341MaRDI QIDQ1006879

Miguel Ramos, Hossein Tehrani

Publication date: 26 March 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0228-1

zbMATH Keywords

semilinear elliptic equationsRabinowitz's perturbation methodinfinite number of solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Infinitely many solutions for the perturbed Bose-Einstein condensates system ⋮ Radial solutions of Dirichlet problems with concave-convex nonlinearities ⋮ Existence of normalized positive solutions for a class of nonhomogeneous elliptic equations ⋮ Infinitely many solutions for sublinear indefinite nonlocal elliptic equations perturbed from symmetry ⋮ Infinitely many solutions for a class of perturbed elliptic equations with nonlocal operators ⋮ Infinitely many solutions for a class of indefinite biharmonic equation under symmetry breaking situations ⋮ Infinitely many solutions for sublinear modified nonlinear Schrödinger equations perturbed from symmetry ⋮ A Bahri-Lions theorem revisited

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