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Multiple solutions for strongly resonant Robin problems

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We consider nonlinear (driven by the p†Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups,… Click to show full abstract

We consider nonlinear (driven by the p†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.

Keywords: robin; resonant robin; solutions strongly; multiple solutions; robin problems; strongly resonant

Journal Title: Mathematische Nachrichten
Year Published: 2018

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