Abstract
We consider semilinear Robin problems near resonance with respect to a nonprincipal eigenvalue \({\hat{\lambda}_m}\). We distinguish two cases. In the first one the near resonance occurs from the right of \({\hat{\lambda}_m}\) and in the second from the left. For both cases, using variational tools, we produce two smooth solutions. We also provide conditions for these solutions to be nontrivial.
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Papageorgiou, N.S., Rădulescu, V.D. Robin Problems Near Resonance at Any Nonprincipal Eigenvalue. Results Math 71, 1389–1412 (2017). https://doi.org/10.1007/s00025-016-0602-3
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DOI: https://doi.org/10.1007/s00025-016-0602-3