Taiwanese Journal of Mathematics

MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS IN ESTEBAN-LIONS DOMAINS WITH HOLES

Tsung-Fang Wu

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.

Article information

Source
Taiwanese J. Math., Volume 9, Number 2 (2005), 245-260.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500407801

Digital Object Identifier
doi:10.11650/twjm/1500407801

Mathematical Reviews number (MathSciNet)
MR2142576

Zentralblatt MATH identifier
1108.35039

Citation

Wu, Tsung-Fang. MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS IN ESTEBAN-LIONS DOMAINS WITH HOLES. Taiwanese J. Math. 9 (2005), no. 2, 245--260. doi:10.11650/twjm/1500407801. https://projecteuclid.org/euclid.twjm/1500407801

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