00-154 P.Amster, M.M.Cassinelli, M.C.Mariani
Solutions to general quasilinear elliptic second order problems (19K, tex) Apr 4, 00
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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 $W^{2,p}$.

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