P.Amster, M.M.Cassinelli, M.C.Mariani
Solutions to general quasilinear elliptic
second order problems
(19K, tex)
ABSTRACT. We study the second order quasilinear equation
(1) $Qu=f(x,u, D_1u,...,D_nu)$
with Dirichlet conditions.
We obtain existence and uniqueness
results in the Sobolev Space $W^{2,p}$.
We also prove that, in
certain cases,
the set of solutions of (1)
is a connected subset of $W^{2,p}$.