Boundary higher integrability for the gradient of distributional solutions of nonlinear systems

Daniela Giachetti; Rosanna Schianchi

Displaying similar documents to “Boundary higher integrability for the gradient of distributional solutions of nonlinear systems”

Classical solution to a second order nonlinear elliptic system in $R_{3}$

J. Nečas, J. Stará, R. Švarc (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Some possibly degenerate elliptic problems with measure data and non linearity on the boundary

Thierry Gallouët, Yannick Sire (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the...

Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach

B. Franchi, R. Serapioni (1987)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Higher regularity for nonlinear oblique derivative problems in Lipschitz domains

Gary M. Lieberman (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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There is a long history of studying nonlinear boundary value problems for elliptic differential equations in a domain with sufficiently smooth boundary. In this paper, we show that the gradient of the solution of such a problem is continuous when a directional derivative is prescribed on the boundary of a Lipschitz domain for a large class of nonlinear equations under weak conditions on the data of the problem. The class of equations includes linear equations with fairly rough coefficients...

Global regularity of the solutions to the capillarity problem

Claus Gerhardt (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems

Shmuel Agmon (1959)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “Boundary higher integrability for the gradient of distributional solutions of nonlinear systems”

Classical solution to a second order nonlinear elliptic system in R 3

Some possibly degenerate elliptic problems with measure data and non linearity on the boundary

Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach

Higher regularity for nonlinear oblique derivative problems in Lipschitz domains

Global regularity of the solutions to the capillarity problem

The L p approach to the Dirichlet problem. Part I : regularity theorems

Classical solution to a second order nonlinear elliptic system in $R_{3}$

The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems