Abstract
Using variational methods based on the critical point theory and suitable truncation and comparison techniques, we study existence, multiplicity and nonexistence of positive solutions for a parametric nonlinear Neumann problem driven by the $p$-Laplacian. Our hypotheses cover the case of nonlinearities of concave-convex type whose exponents depend on the parameter.
Citation
Dumitru Motreanu. Viorica V. Motreanu. Nikolaos S. Papageorgiou. "Existence and nonexistence of positive solutions for parametric Neumann problems with $p$-Laplacian." Tohoku Math. J. (2) 66 (1) 137 - 153, 2014. https://doi.org/10.2748/tmj/1396875667
Information