Differential and Integral Equations

Existence and comparison for some quasilinear degenerate elliptic problems

N. Grenon, J. Mossino, I. Moutoussamy, and A. Simon

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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.

Article information

Source
Differential Integral Equations Volume 13, Number 7-9 (2000), 1095-1110.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356061212

Mathematical Reviews number (MathSciNet)
MR1775248

Zentralblatt MATH identifier
0989.35059

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35B05: Oscillation, zeros of solutions, mean value theorems, etc. 35B45: A priori estimates 35J70: Degenerate elliptic equations

Citation

Grenon, N.; Moutoussamy, I.; Simon, A.; Mossino, J. Existence and comparison for some quasilinear degenerate elliptic problems. Differential Integral Equations 13 (2000), no. 7-9, 1095--1110. https://projecteuclid.org/euclid.die/1356061212.


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