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The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
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Matthias Bergner
Published/Copyright:
September 25, 2009
We consider the Dirichlet problem for graphs of prescribed mean curvature in ℝn+1 where the prescribed mean curvature function H=H(X,N) may depend on the point X in space and on the normal N of the graph as well. In some special cases this Dirichlet problem arises as the Euler equation of a generalised nonparametric area functional.
Received: 2006-December-07
Published Online: 2009-09-25
Published in Print: 2008-02
© Oldenbourg Wissenschaftsverlag
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Articles in the same Issue
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- On the value distribution of two differential monomials
- The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
- Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- Asymptotic analysis of generalized Hermite polynomials
- Some convergence theorems for Lebesgue integrals
- The zeros of certain differential polynomials
