Impulsive boundary value problems for $p(t)$-Laplacian's via critical point theory

Title:

Impulsive boundary value problems for $p(t)$-Laplacian's via critical point theory

Creator:

Galewski, Marek and O´Regan, Donal

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d8ebcb24-1a21-44c3-bcf4-8fe95450baca
uuid:d8ebcb24-1a21-44c3-bcf4-8fe95450baca

Subject:

$p( t)$-Laplacian, impulsive condition, critical point, variational method, and Dirichlet problem

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

951-967

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:4

Harvested from:

CDK

Metadata only:

false