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2005 MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS IN ESTEBAN-LIONS DOMAINS WITH HOLES
Tsung-Fang Wu
Taiwanese J. Math. 9(2): 245-260 (2005). DOI: 10.11650/twjm/1500407801

Abstract

In this paper, we study a Palais-Smale condition in unbounded domains. Furthermore, we apply this result to prove that the semilinear elliptic equation in a Esteban-Lions domain with holes has multiple positive solutions.

Citation

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Tsung-Fang Wu. "MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS IN ESTEBAN-LIONS DOMAINS WITH HOLES." Taiwanese J. Math. 9 (2) 245 - 260, 2005. https://doi.org/10.11650/twjm/1500407801

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1108.35039
MathSciNet: MR2142576
Digital Object Identifier: 10.11650/twjm/1500407801

Subjects:
Primary: 35J20 , 35J25 , 35J60

Keywords: Esteban-Lions domains , multiple positive solutions , Palais-Smale , semilinear elliptic equations

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 2 • 2005
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