2012年3月
Existence and non-existence of solution for semilinear elliptic equation with harmonic potential and Sobolev critical/supercritical nonlinearities
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- ,
- 巻
- 387
- 号
- 2
- 開始ページ
- 746
- 終了ページ
- 754
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jmaa.2011.09.034
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
In this paper, we study the existence and non-existence of the positive solution to a semilinear elliptic equation with the harmonic potential and power type nonlinearity. First, we obtain non-existence result in three space dimension with the Sobolev critical nonlinearity. Next, we prove that there exists a global bifurcation branch with the Sobolev supercritical nonlinearity. (C) 2011 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.jmaa.2011.09.034
- ISSN : 0022-247X
- Web of Science ID : WOS:000297229900021