Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
نویسندگان
چکیده
منابع مشابه
Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators
We study uniformly elliptic fully nonlinear equations of the type F (D2u,Du, u, x) = f(x). We show that convex positively 1-homogeneous operators possess two principal eigenvalues and eigenfunctions, and study these objects ; we obtain existence and uniqueness results for non-proper operators whose principal eigenvalues (in some cases, only one of them) are positive ; finally, we obtain an exis...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2008
ISSN: 0001-8708
DOI: 10.1016/j.aim.2007.12.002