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- Title
Multiple solutions for strongly resonant Robin problems.
- Authors
Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca
- Abstract
Abstract: We consider nonlinear (driven by the <italic>p</italic>‐Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems producing up to four nontrivial smooth solutions.
- Subjects
NONLINEAR equations; LAPLACIAN operator; RESONANCE; EIGENVALUES; MULTIPLICITY (Mathematics); MATHEMATICS theorems
- Publication
Mathematische Nachrichten, 2018, Vol 291, Issue 7, p1147
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201600454