# Nonlinear elliptic equations with natural growth in general domains

created on 05 Oct 2004

[BibTeX]

Published Paper

Inserted: 5 oct 2004

Journal: Annali di Matematica Pura e Applicata
Volume: 181
Pages: 407-426
Year: 2002

Abstract:

We prove the existence of solutions of nonlinear elliptic equations with first order terms having natural growth'' with respect to the gradient. The assumptions on the source terms lead to the existence of possibly unbounded solutions (though with exponential integrability). The domain $\Om$ is allowed to have infinite Lebesgue measure.

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