2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 83-94.
Title: On a problem of lower limit in the study of nonresonance
with Leray-Lions operator
Authors: Aomar Anane (Univ. Mohammed 1er, Oujda, Maroc)
Omar Chakrone (Univ. Mohammed 1er, Oujda, Maroc)
Mohammed Chehabi (Univ. Mohammed 1er, Oujda, Maroc)
Abstract:
We prove the solvability of the Dirichlet problem
$$\displaylines{
Au = f(u)+h \quad\text{in } \Omega , \cr
u = 0 \quad\text{on }\partial \Omega
}$$
for a given $h$, under a condition involving only the
asymptotic behaviour of the potential $F$ of $f$, where $A$ is a
Leray-Lions operator.
Published September 20, 2006.
Math Subject Classifications: 35J60, 35P30.
Key Words: Leray-Lions operator; Nonresonance; fist eigenvalue.