C 1,α Theory for the Prescribed Mean Curvature Equation with Dirichlet Data

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The prescribed mean curvature equation for a revolution surface with Dirichlet condition

We give conditions on a continuous and bounded function H in R2 to obtain at least two weak solutions of the mean curvature equation with Dirichlet condition for revolution surfaces with boundary, using variational methods. Introduction The prescribed mean curvature equation with Dirichlet condition for a vector function X : B −→ R is the system of non linear partial equations (1) 4X = 2H(X)X...

متن کامل

On the Dirichlet problem for the prescribed mean curvature equation over general domains

We study and solve the Dirichlet problem for graphs of prescribed mean curvature in R over general domains Ω without requiring a mean convexity assumption. By using pieces of nodoids as barriers we first give sufficient conditions for the solvability in case of zero boundary values. Applying a result by Schulz and Williams we can then also solve the Dirichlet problem for boundary values satisfy...

متن کامل

Finite Element Approximations and the Dirichlet Problem for Surfaces of Prescribed Mean Curvature

We give a nite element procedure for the Dirichlet Problem corresponding to surfaces of prescribed mean curvature and prove an optimal convergence estimate in the H 1-norm. 1. H-Harmonic Maps The numerical solution of the classical H-Plateau Problem consists of approximating disc-like surfaces with prescribed boundary curve and prescribed mean curvature H. For a detailed discussion of the algor...

متن کامل

Helicoidal graphs with prescribed mean curvature

We prove an existence result for helicoidal graphs with prescribed mean curvature in a large class of warped product spaces which comprises space forms.

متن کامل

Conformal Killing graphs with prescribed mean curvature

We prove the existence and uniqueness of graphs with prescribed mean curvature function in a large class of Riemannian manifolds which comprises spaces endowed with a conformal Killing vector field.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Geometric Analysis

سال: 2010

ISSN: 1050-6926,1559-002X

DOI: 10.1007/s12220-010-9176-6