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1. BOUNDED WEAK SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS.

Author

EL HACHIMI, ABDERRAHMANE and IGBIDA, JAOUAD

Subjects
*NUMERICAL solutions to elliptic differential equations, *NONLINEAR differential equations, *ELLIPTIC functions, *A priori, *NONLINEAR theories
Abstract

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 Lm() with m > n/2 and we prove the existence of bounded weak solutions via L1-estimates. A priori estimates and Stampacchia's L1-regularity are our main ingredient. [ABSTRACT FROM AUTHOR]

Published
2009
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