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On the blow-up of positive solutions to elliptic equations in plane unbounded domains

โœ Scribed by S. I. Pokhozhaev


Book ID
110149477
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
484 KB
Volume
85
Category
Article
ISSN
0001-4346

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Existence of positive solutions for some
โœ Kazuhiro Kurata; Masataka Shibata; Kazuo Tada ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

In this paper, we study the existence of positive solutions to nonlinear elliptic boundary value problems on unbounded domains ! โŠ‚ R n with cylindrical ends for a general nonlinear term f(u) including f(u) = u p + ; 1 ยก p ยก (n + 2)=(n -2)(n ยฟ 3); + โˆž (n = 2) as a typical example: by using the mount