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

Published 15 Mar 2018 in math.AP | (1803.05680v1)

Abstract: 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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