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Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends

โœ Scribed by Kazuhiro Kurata; Masataka Shibata; Kazuo Tada

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
206 KB
Volume
55
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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 mountain pass approach. The geometry of ! plays an important role in our analysis.

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