1. Impulsive boundary value problems for $p(t)$-Laplacian's via critical point theory
- Creator:
- Galewski, Marek and O´Regan, Donal
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $p( t)$-Laplacian, impulsive condition, critical point, variational method, and Dirichlet problem
- Language:
- English
- Description:
- In this paper we investigate the existence of solutions to impulsive problems with a $p(t)$-Laplacian and Dirichlet boundary value conditions. We introduce two types of solutions, namely a weak and a classical one which coincide because of the fundamental lemma of the calculus of variations. Firstly we investigate the existence of solution to the linear problem, i.e. a problem with a fixed rigth hand side. Then we use a direct variational method and next a mountain pass approach in order to get the existence of at least one weak solution to the nonlinear problem.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public