Strongly nonlinear problem of infinite order with L data

Abstract

In this paper, we prove the existence of solutions for the strongly nonlinear equation of the type Au + g(x, u) = f where A is an elliptic operator of infinite order from a functional space of Sobolev type to its dual. g(x, s) is a lower order term satisfying essentially a sign condition on s and the second term f belongs to L 1 (Ω). 

Topics

Cite this paper

@inproceedings{Benkirane2009StronglyNP, title={Strongly nonlinear problem of infinite order with L data}, author={A. Benkirane and M. Chrif and Said El Manouni}, year={2009} }