Journal
RESULTS IN MATHEMATICS
Volume 75, Issue 3, Pages -Publisher
SPRINGER BASEL AG
DOI: 10.1007/s00025-020-01234-z
Keywords
Superlinear perturbation; Regularity theory; Maximum principle; Constant sign and nodal solutions; Critical groups; Indefinite potential
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, N1-0114, N1-0064, N1-0083]
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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.
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