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On a semilinear Schrödinger equation with critical Sobolev exponent |
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| Authors: | Jan Chabrowski Andrzej Szulkin |
| Affiliation: | Department of Mathematics, University of Queensland, St. Lucia 4072, Queensland, Australia ; Department of Mathematics, Stockholm University, 106 91 Stockholm, Sweden |
| Abstract: | We consider the semilinear Schrödinger equation |
| Keywords: | Semilinear Schr" odinger equation, critical Sobolev exponent, linking |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
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, 
, where 
, 
are periodic in 
for 
, 
, 
is of subcritical growth and 0 is in a gap of the spectrum of 
. We show that under suitable hypotheses this equation has a solution 
. In particular, such a solution exists if 
and 
.