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Almost global solutions of semilinear wave equations with the critical exponent in high dimensions

โœ Scribed by Takamura, Hiroyuki; Wakasa, Kyouhei


Book ID
125823946
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
643 KB
Volume
109
Category
Article
ISSN
0362-546X

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โœ Yinbin Deng; Yi Li ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 899 KB

In this paper, we consider the semilinear elliptic equation For p=2Nร‚(N&2), we show that there exists a positive constant +\\*>0 such that (V) + possesses at least one solution if + # (0, +\\*) and no solutions if +>+\\*. Furthermore, (V) + possesses a unique solution when +=+\\*, and at least two s