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On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two

Jean Dolbeault, Régis Monneau (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related to a conjecture of De Giorgi in $ℝ^{2}$ . We prove that if the level lines of a solution have bounded curvature, then these level lines are straight lines. As a consequence, the solution is one-dimensional. The method also provides a result on free boundary problems of Serrin type.

On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.

Arthur E. Fischer, Anthony J. Tromba (1984)

Mathematische Annalen

On identification of critical curves

Jaroslav Haslinger, Václav Horák (1990)

Aplikace matematiky

The paper deals with the problem of finding a curve, going through the interior of the domain $Ω$ , accross which the flux $\partial u / \partial n$ , where $u$ is the solution of a mixed elliptic boundary value problem solved in $Ω$ , attains its maximum.

On the Existence of Wave Operators for Dirac Operators.

Klaus-Jürgen Eckardt (1973/1974)

Manuscripta mathematica

On the initial value problem for a partial differential equation with operator coefficients.

El-Borai, Mahmoud M. (1980)

International Journal of Mathematics and Mathematical Sciences

On the inverse problem of the Sturm-Liouville type for a linear elliptic partial differential equation with constant coefficients of the second order

Jan Bochenek (1971)

Annales Polonici Mathematici

Displaying 1 – 9 of 9

On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two

On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.

On identification of critical curves

On the Existence of Wave Operators for Dirac Operators.

On the initial value problem for a partial differential equation with operator coefficients.

On the inverse problem of the Sturm-Liouville type for a linear elliptic partial differential equation with constant coefficients of the second order

On the maximum principle in the linear-elasticity theory

On the spectral theory of pseudo-differential elliptic boundary problems

Opérateurs elliptiques et problème de Cauchy

Currently displaying 1 – 9 of 9