Affiliation:
1. University of Bojnord
2. University of Santiago de Compostela
Abstract
In this paper, a local minimum result for differentiable functionals is exploited in order to prove that a perturbed Dirichlet boundary value problem including a Lipschitz continuous non-linear term admits at least one non-trivial weak solution under an asymptotical behaviour of the nonlinear datum at zero. Some special cases and a concrete example of an application is then presented.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis