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2007 On the existence and nonexistence of solutions for an elliptic system in unbounded domains
Jun-ichi Sato
Adv. Differential Equations 12(7): 759-780 (2007).

Abstract

In this paper, we study the existence and nonexistence of solutions for some systems of semilinear elliptic equations in an unbounded domain $\Omega$. The main objective of this paper is to discuss the relationship between the existence of solutions and the translation invariance of the domain $\Omega$. More precisely, we point out how the translation invariance of our domain plays a crucial role for the existence of our problem.

Citation

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Jun-ichi Sato. "On the existence and nonexistence of solutions for an elliptic system in unbounded domains." Adv. Differential Equations 12 (7) 759 - 780, 2007.

Information

Published: 2007
First available in Project Euclid: 18 December 2012

zbMATH: 1154.35027
MathSciNet: MR2331523

Subjects:
Primary: 35J55
Secondary: 35J50, 35J60, 47J30

Rights: Copyright © 2007 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.12 • No. 7 • 2007
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