Existence and comparison for some quasilinear degenerate elliptic problems
Nathalie Grenon, Jacqueline Mossino, Isabelle Moutoussamy, Alice Simon · Differential and Integral Equations · 2000
Our aim is to prove, by a constructive process with strong convergence, the existence of a minimal solution for some quasilinear degenerate elliptic equations of the type $$-div \; A(x, abla u)= F(x,u) \; \mbox{in} \; \Omega .$$ Our proof uses rearrangement techniques and provides comparisons.