2000 Existence and comparison for some quasilinear degenerate elliptic problems
N. Grenon, J. Mossino, I. Moutoussamy, A. Simon
Differential Integral Equations 13(7-9): 1095-1110 (2000). DOI: 10.57262/die/1356061212

Abstract

Our aim is to prove, by a constructive process with strong convergence, the existence of a minimal solution for some quasilinear degenerate elliptic equations of the type $$-div \; A(x, \nabla u)= F(x,u) \; \mbox{in} \; \Omega .$$ Our proof uses rearrangement techniques and provides comparisons.

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N. Grenon. J. Mossino. I. Moutoussamy. A. Simon. "Existence and comparison for some quasilinear degenerate elliptic problems." Differential Integral Equations 13 (7-9) 1095 - 1110, 2000. https://doi.org/10.57262/die/1356061212

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 0989.35059
MathSciNet: MR1775248
Digital Object Identifier: 10.57262/die/1356061212

Subjects:
Primary: 35J60
Secondary: 35B05 , 35B45 , 35J70

Rights: Copyright © 2000 Khayyam Publishing, Inc.

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Vol.13 • No. 7-9 • 2000
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