Positive solutions of nonlinear elliptic systems

Robert Dalmasso

ArticleOriginal scientific text

Title

Positive solutions of nonlinear elliptic systems

Authors ¹

Affiliations

Laboratoire LMC-IMAG, Equipe EDP Tour IRMA, B.P. 53 X, F-38041 Grenoble Cedex, France

Abstract

We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular,

L^{\infty}

a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.

Keywords

ENG

a priori bounds, nonlinear elliptic systems, Maximum Principle

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Title

Positive solutions of nonlinear elliptic systems

Affiliations

Abstract

Keywords

Bibliography