Strongly nonlinear problem of infinite order with $L^1$ data

Strongly nonlinear problem of infinite order with $L^1$ data

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 $s$...

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Bibliographic Details
Main Authors: A. Benkirane, M. Chrif, S. El Manouni
Format: Article
Language:English
Published: University of Szeged 2009-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=368

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