 00166 P. Amster, J.P. Borgna, M.C. Mariani, D.F. Rial
 Solutions to the mean curvature equation for nonparemetric surfaces by fixed point methods
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Apr 5, 00

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Abstract. We study the existence of solutions for the equation of prescribed mean
curvature when the surface is the graph of $u:\overline{\Omega }\longrightarrow
R$, with mean curvature $H(x,y,u(x,y))$.
We give conditions on the boundary data in order to obtain at least one
solution for
the quasilinear Dirichlet problem (1) below, with $H$ a given continuous
function.
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