Existence and regularity of solutions to nonlinear elliptic equations without sign condition
par
M.Jaouad Igbida(Université d'El Jadida, Maroc)
→
Europe/Paris
203 (XLIM)
203
XLIM
FST-Université de Limoges,
123, Av. Albert Thomas.
Description
In this talk we study the existence of bounded weak
solutions for some nonlinear Dirichlet problems in a bounded domains.
Without any sign condition on the term which growth
quadratically on the gradient and for a given function f in $L^m(\Omega)$
with $m > N/2,$ we prove the existence of bounded weak solutions
via $L^1$-estimates. Our methods relay on Schauder fixed point theorem,
a priori estimates and Stampacchia’s $L^1$-regularity.