Existence of solutions for a class of obstacle problems with $$L^1$$ -data and without sign condition.

Autor: Azroul, Elhoussine, Benboubker, Mohamed, Hjiaj, Hassane, Yazough, Chihab
Zdroj: Afrika Matematica; Sep2016, Vol. 27 Issue 5/6, p795-813, 19p
Abstrakt: In this article, we prove an existence result of solutions to the obstacle problem associated with the equation of the type where A is an operator of Leray-Lions type acting from $$W_{0}^{1,\vec {p}(x)}(\Omega )$$ into its dual $$W^{-1,\vec {p'}(x)}(\Omega )$$ and $$g(x,s,\xi )$$ is a nonlinear term satisfying some growth condition,without the sign condition. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index