Asymptotically Linear Problems and Antimaximum Principle for the Square Root of the Laplacian

This work deals with bifurcation of positive solutions for some asymptotically linear problems, involving the square root of the Laplacian (−Δ)with Ω ⊂ ℝ

Existence of Positive Solutions for Nonlinear Noncoercive Hemivariational Inequalities

In this paper we investigate the existence of positive solutions for nonlinear elliptic problems driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Under asymptotic conditions that make the Euler functional indefinite and incorporate in our framework the asymptotically linear problems, using a variational approach based on nonsmooth critical point theory, we obtain positive smooth solutions. Our analysis also leads naturally to multiplicity results.