Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

Abstract
We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we show that when ▫$\lambda$▫ is close to a nonprincipal eigenvalue, then the problem has seven nontrivial solutions. We provide sign information for six of them.

Language: English superlinear perturbation, regularity theory, maximum principle, constant sign and nodal solutions, critical groups, indefinite potential Article (dk_c) 1.01 - Original Scientific Article PEF - Faculty of Education 2020 art. 116 (22 str.) Vol. 75, iss. 3 517.956.2 1422-6383 10.1007/s00025-020-01234-z 22444547 190 141 (0 votes) Voting is allowed only to logged in users. AddThis uses cookies that require your consent. Edit consent...

## Record is a part of a journal

Title: Results in mathematics Results math. Birkhäuser 1422-6383 514963225

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