We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a first order term. We show how the summability of the gradient of a solution increases when the summability of the datum increases. We also prove comparison principle which gives in turn uniqueness results by strenghtening the assumptions on the operators.

Gradient estimates and comparison principle for some nonlinear elliptic equations

BETTA, MARIA FRANCESCA;
2015

Abstract

We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a first order term. We show how the summability of the gradient of a solution increases when the summability of the datum increases. We also prove comparison principle which gives in turn uniqueness results by strenghtening the assumptions on the operators.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/37358
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