Multiplicity of solutions for nonlinear nonhomogeneous Robin problems | Zendy

Nikolaos S. Papageorgiou | Zendy; Vicenţiu D. Rădulescu | Zendy

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Multiplicity 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 , 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.

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