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Solutions for a class of singular semilinear elliptic equations

โœ Scribed by Zhiren Jin


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
715 KB
Volume
31
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


~ eivcd 26 /"ehruatT /996. received tn rt 'vised lorm 13 ~larch 1996. re(ezv(.d l, r puhli('ation 27 Vov('mher 199ยข~) kยข.v w.rd,~ am/ phrase,: t!ntire solutions, semilinear elltptic equations, upper and lower solution method I. INTRODU('TI(.)N ANI) RI!SUI.TS = (1 + Ix'12) '+~ยฐt w(x)-~ -> (1 + Ix']2):' w(x):' >p(x)w(x) ~"

This is what we want. โ€ข


๐Ÿ“œ SIMILAR VOLUMES


Nontrivial solutions for some singular c
โœ Xiaoming He; Wenming Zou ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB

Let โ„ฆ be a bounded domain in R N (N โ‰ฅ 5) with smooth boundary โˆ‚โ„ฆ and the origin 0 is a bounded positive function on ฮฉ . We prove the existence results for nontrivial solutions to the Dirichlet problem + ฮปu in โ„ฆ , u = 0 on โˆ‚โ„ฆ , for suitable numbers ยต and ฮป.

Existence and Multiplicity of Solutions
โœ Shui-Qiang Liu; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.