Dirichlet duality and the nonlinear Dirichlet problem
نویسندگان
چکیده
منابع مشابه
Dirichlet Duality and the Nonlinear Dirichlet Problem
We study the Dirichlet problem for fully nonlinear, degenerate elliptic equations of the form F.Hessu/ D 0 on a smoothly bounded domain b Rn. In our approach the equation is replaced by a subset F Sym.Rn/ of the symmetric n nmatrices with @F fF D 0g. We establish the existence and uniqueness of continuous solutions under an explicit geometric “F -convexity” assumption on the boundary @. We a...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2009
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.20265