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Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist

Published online by Cambridge University Press:  12 July 2007

Shujie Li ,
Kanishka Perera  and
Jiabao Su
Shujie Li
Affiliation:
Academy of Mathematics and Systems Science, Institute of Mathematics, Academia Sinica, Beijing 100080, Peoples's Republic of China (lisj@math03.math.ac.cn)
Kanishka Perera
Affiliation:
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA (kperera@winnie.fit.edu)
Jiabao Su
Affiliation:
Department of Mathematics, Capital Normal University, Beijing 100037, People's Republic of China (sujb@mail.cnu.edu.cn)
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Abstract

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We compute critical groups in semilinear elliptic boundary-value problems in which the nonlinear term may fail to have asymptotic limits at zero and at infinity. As applications, we prove several new existence results.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 3 , June 2001 , pp. 721 - 732
Copyright
Copyright © Royal Society of Edinburgh 2001