Bounded weak solutions to nonlinear elliptic equations

In this work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to $L^{m}(\Omega)$ with $m>n/2$ and we prove the existence of bounded weak solutions via $L^{\infty}$-estimates. A priori estimates and...

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Bibliographic Details
Main Authors: Abderrahmane El Hachimi, Jaouad Igbida
Format: Article
Language:English
Published: University of Szeged 2009-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=363