Existence of solution in weighted Sobolev spaces for a strongly nonlinear degenerate elliptic equations having natural growth terms and L^1 data

  • Albo Carlos Cavalheiro State University of londrina, Brazil

Abstract

In this paper we are interested in the existence of a solution for the nonlinear
degenerate elliptic equations Lu(x) + H(x; u;∇u) w_2 = f in the setting of the
weighted Sobolev space , where H is a nonlinear term with natural
growth with respect to ∇u and f ∈L^1(Ω) .

Author Biography

Albo Carlos Cavalheiro, State University of londrina, Brazil

Department of Mathematics

Published
2018-12-03
Section
Articoli