Department of Mathematics
National University of Education
Changhua, Taiwan, ROC
e-mail: chenc@math.ncue.edu.tw
Department of Mathematics
National University of Education
Changhua, Taiwan, ROC
Chao-Nien Chen & Shyuh-yaur Tzeng
Abstract:
When using calculus of variations to study nonlinear elliptic boundary-value
problems on unbounded domains, the Palais-Smale condition is not always
satisfied. To overcome this difficulty, we analyze Palais-Smale sequences, and
use their convergence to justify the existence of critical points for a functional.
We show the existence of positive solutions using a minimax method and
comparison arguments for semilinear elliptic equations.
Submitted December 29, 1998. Published May 14, 1999.
Math Subject Classification: 35J20, 35J25.
Key Words: elliptic equation, Palais-Smale sequence, minimax method.
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Chao-Nien Chen Department of Mathematics National University of Education Changhua, Taiwan, ROC e-mail: chenc@math.ncue.edu.tw |
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Shyuh-yaur Tzeng Department of Mathematics National University of Education Changhua, Taiwan, ROC |
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