A necessary condition of solvability for the capillarity boundary of Monge-Ampere equations in two dimensions
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Publication:4226284
DOI10.1090/S0002-9939-99-04750-4zbMath0910.35052MaRDI QIDQ4226284
Publication date: 25 January 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
Related Items (11)
Serrin-Type Overdetermined Problem in $\mathbb H^n$ ⋮ SOME MAXIMUM PRINCIPLES AND SYMMETRY RESULTS FOR A CLASS OF BOUNDARY VALUE PROBLEMS INVOLVING THE MONGE-AMPÈRE EQUATION ⋮ Overdetermined problems for Weingarten hypersurfaces ⋮ Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs ⋮ Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms ⋮ Serrin-type overdetermined problems for Hessian quotient equations and Hessian quotient curvature equations ⋮ Maximum principles and isoperimetric inequalities for some Monge-Ampère-type problems ⋮ Maximum and minimum principles for a class of Monge-Ampère equations in the plane, with applications to surfaces of constant Gauss curvature ⋮ Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampère problems in the plane ⋮ Gradient estimate of the solutions to Hessian equations with oblique boundary value ⋮ A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
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