In this paper we discuss the applications of an abstract version of concentration compactness to minimax problems. In particular, we prove the existence of solutions to semilinear elliptic problems on unbounded subsets of the Heisenberg group.
Submitted January 17, 2001. Published March 20, 2001.
Math Subject Classifications: 35J10, 35J20, 65K10.
Key Words: Heisenberg group, elliptic equations, concentration compactness.
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| Kyril Tintarev |
Department of Mathematics
P.O. Box 480
75106 Uppsala, Sweden
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