Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential

Du\v{s}an D. Repov\v{s}; Nikolaos S. Papageorgiou; Vicen\c{t}iu D. R\u{a}dulescu

arxiv: 1803.05680 · v1 · pith:B33VR6VFnew · submitted 2018-03-15 · 🧮 math.AP

Resonant Robin problems driven by the p-Laplacian plus an indefinite potential

Nikolaos S. Papageorgiou , Vicen\c{t}iu D. R\u{a}dulescu , Du\v{s}an D. Repov\v{s} This is my paper

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keywords driveneigenvalueindefinitelaplacianpluspotentialproblemsresonant

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We consider a nonlinear Robin problems driven by the $p$-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical groups we prove existence and multiplicity theorems.

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Resonant Robin problems driven by the p-Laplacian plus an indefinite potential

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