Semilinear Elliptic Systems With Exponential Nonlinearities in Two Dimensions

We establish a priori bounds for positive solutions of semilinear elliptic systems of the form where Ω is a bounded and smooth domain in ℝ . We obtain results concerning such bounds when f and g depend exponentially with respect to u and v.

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Bibliographic Details
Published in:Advanced nonlinear studies 2006-05, Vol.6 (2), p.199-213
Main Authors: Figueiredo, Djairo G. de, Ó, João Marcos do, Ruf, Bernhard
Format: Article
Language:English
Subjects:
A priori estimates
Elliptic systems
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Description
Summary:We establish a priori bounds for positive solutions of semilinear elliptic systems of the form where Ω is a bounded and smooth domain in ℝ . We obtain results concerning such bounds when f and g depend exponentially with respect to u and v.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2006-0205