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Existence of solutions for semilinear elliptic problems without (PS) condition

Author(s): Jianfu Yang
Journal: Proc. Amer. Math. Soc. 132 (2004), 1355-1366.
MSC (2000): Primary 35J20, 35J25, 35J60
Posted: December 12, 2003
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Abstract: We establish an existence result for semilinear elliptic problems with the associated functional not satisfying the Palais-Smale condition. The nonlinearity of our problem does not satisfy the Ambrosetti-Rabinowitz condition.

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Additional Information:

Jianfu Yang
Affiliation: Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, Peoples Republic of China
Email: jfyang@wipm.ac.cn

DOI: 10.1090/S0002-9939-03-07088-6
PII: S 0002-9939(03)07088-6
Keywords: Palais-Smale condition, semilinear, elliptic problem
Received by editor(s): May 4, 2002
Received by editor(s) in revised form: September 18, 2002
Posted: December 12, 2003
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2003, American Mathematical Society

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