Open AccessMultiplicity of solutions for nonlinear nonhomogeneous Robin problems
Author(s) -
Nikolaos S. Papageorgiou,
Vicenţiu D. Rădulescu
Publication year - 2017
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13862
Subject(s) - multiplicity (mathematics) , nonlinear system , perturbation (astronomy) , mathematics , pure mathematics , mathematical analysis , physics , quantum mechanics
We consider a nonlinear nonhomogeneous Robin problem, with an indefinite concave term near the origin and a perturbation of arbitrary growth. By modifying the perturbation and using a variant of the symmetric mountain pass theorem due to Heinz (J. Diff. Equ. 66 (1987)), we show that the problem has a whole sequence of distinct nontrivial smooth solutions converging to the trivial solution.