The existence and uniqueness of the global C-1,C-1/3 solution to the Dirichlet problem for the degenerate elliptic Monge-Ampere equation are proved, under mild conditions, and the application to the equation of the prescribed nonnegative Gauss curvature is also given. (C) 1999 Academic Press.Mathematics, AppliedMathematicsSCI(E)1ARTICLE1166-17823
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
Let O be a bounded convex domain in Rn with smooth, strictly convex boundary ¶O, i.e. the principal ...
In this article, an elliptic equation, which type degenerates (either weakly or strongly)at the axis...
AbstractThe existence and uniqueness of the global C1,1/3 solution to the Dirichlet problem for the ...
We shall prove an estimate similar to the Hadamard’s three circles theorem for solutions of the Cauc...
This paper concerns Cauchy problem for degenerate nonlinear elliptic equations of the form (1.1) $¥p...
We consider two natural problems arising in geometry which are equivalent to the local solvability o...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...
The existence and uniqueness of the solution of a boundary value problem for a degenerate elliptic e...
Abstract. In this paper we are interested in the existence of solutions for the Dirichlet problem as...
We shall prove an estimate similar to the Hadamard’s three circles theorem for solutions of the Cauc...
This dissertation consists of three parts. The first part studies hypersurfaces of prescribed Gauss ...
International audienceIn this paper, we prove the existence of the C1,1-solution to the Dirichlet pr...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
Let O be a bounded convex domain in Rn with smooth, strictly convex boundary ¶O, i.e. the principal ...
In this article, an elliptic equation, which type degenerates (either weakly or strongly)at the axis...
AbstractThe existence and uniqueness of the global C1,1/3 solution to the Dirichlet problem for the ...
We shall prove an estimate similar to the Hadamard’s three circles theorem for solutions of the Cauc...
This paper concerns Cauchy problem for degenerate nonlinear elliptic equations of the form (1.1) $¥p...
We consider two natural problems arising in geometry which are equivalent to the local solvability o...
We study partial differential equations of Monge-Amp\ue8re type involving the derivates with respect...
The existence and uniqueness of the solution of a boundary value problem for a degenerate elliptic e...
Abstract. In this paper we are interested in the existence of solutions for the Dirichlet problem as...
We shall prove an estimate similar to the Hadamard’s three circles theorem for solutions of the Cauc...
This dissertation consists of three parts. The first part studies hypersurfaces of prescribed Gauss ...
International audienceIn this paper, we prove the existence of the C1,1-solution to the Dirichlet pr...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axi...
Let O be a bounded convex domain in Rn with smooth, strictly convex boundary ¶O, i.e. the principal ...
In this article, an elliptic equation, which type degenerates (either weakly or strongly)at the axis...
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