Title

Positive solutions for parametric nonlinear neumann problems with competing nonlinearities

Abstract

We consider a parametric nonlinear Neumann problem driven by the p-Laplacian and with a reaction exhibiting the competing effects of a concave (p-sublinear) and of a convex (p-superlinear) term. Using critical point theory together with truncation and comparison techniques, we prove a bifurcation type theorem describing the set of positive solutions as the parameter λ > 0 varies.

Document Type

Article

Keywords

Bifurcations, Concave-convex nonlinearity, Non-linear maximum principle, Nonlinear regularity, Positive solution

Publication Date

1-1-2015

Journal Title

Houston Journal of Mathematics

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