Gradient estimates and comparison principle for some nonlinear elliptic equations
- Betta, MARIA FRANCESCA
- di Nardo, R.
- Mercaldo, A.
- Perrotta, A.
Publication date
January 2015
DOI Publisher
American Institute of Mathematical Sciences (AIMS) ISSN
1534-0392 Citation count (estimate)
1Abstract
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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