Author:
Hayasida Kazuya,Nakatani Masao
Abstract
The Dirichlet problem of prescribed mean curvature equations is well posed, if the boundery is H-convex. In this article we eliminate the H-convexity condition from a portion Γ of the boundary and prove the existence theorem, where the boundary condition is satisfied on Γ in the weak sense.
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. Applications de l’analyse convexe au calcul des variations;Teman;Lecture Notes in Math,1975
2. On quasilinear non-uniformly elliptic equations in some non-convex domains
3. Solutions of the minimal surface equation continuous and discontinuous at the boundary
4. The Dirichlet problem for the equations of curvature of order m;Ivochkina;Leningrad Math. J,1991
5. Barriers and existence results for a class of equations of mean curvature type;Schultz;Analysis,1987
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