Positive solutions of nonlinear Robin eigenvalue problems

Papageorgiou, Nikolaos; Rădulescu, Vicenţiu

doi:10.1090/proc/13107

Positive solutions of nonlinear Robin eigenvalue problems
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by Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu PDF

Proc. Amer. Math. Soc. 144 (2016), 4913-4928 Request permission

Abstract:

We consider a nonlinear eigenvalue problem driven by the $p$- Laplacian with Robin boundary condition. Using variational methods and truncation techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter $\lambda$ varies. We also produce extremal positive solutions and study their properties.

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