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Comparison results for nonlinear elliptic equations with lower–order terms

✍ Scribed by Vincenzo Ferone; Basilio Messano

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
119 KB
Volume
252
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We consider a solution u of the homogeneous Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) + g(x, u) = f, where the principal term is a Leray–Lions operator defined on $ W ^{1, p} _{0} (\Omega) $ and g(x, u) is a term having the same sign as u and satisfying suitable growth assumptions. We prove that the rearrangement of u can be estimated by the solution of a problem whose data are radially symmetric.

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