We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a rst 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 / M. F., Betta; R., Di Nardo; Mercaldo, Anna; A., Perrotta. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 14:3(2015), pp. 897-922. [10.3934/cpaa.2015.14.897]
Gradient estimates and comparison principle for some nonlinear elliptic equations
MERCALDO, ANNA;
2015
Abstract
We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a rst 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 operatorsFile in questo prodotto:
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