TITLE

On the existence of solutions to a special variational problem

AUTHOR(S)
Cellina, Arrigo; Vornicescu, Mihai
PUB. DATE
June 2009
SOURCE
Calculus of Variations & Partial Differential Equations;Jun2009, Vol. 35 Issue 2, p263
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper we establish an existence and regularity result for solutions to the problem for boundary data that are constant on each connected component of the boundary of O. The Lagrangean L belongs to a class that contains both extended valued Lagrangeans and Lagrangeans with linear growth. Regularity means that the solution $${\tilde w}$$ is Lipschitz continuous and that, in addition, $${\|L^\prime(|\nabla\tilde w|)\|_\infty}$$ is bounded.
ACCESSION #
36479337

 

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