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Structure of ground state solutions of singular semilinear elliptic equations

โœ Scribed by Sun Yijing; Li Shujie

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

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โœฆ Synopsis

This paper deals with a class of singular semilinear elliptic equations in R N where the combined e ects of a singular and a sublinear term allow us to establish some existence, symmetry and uniqueness results for positive "ground state" solutions.

๐Ÿ“œ SIMILAR VOLUMES

Solutions for a class of singular semili
Solutions for a class of singular semilinear elliptic equations
โœ Zhiren Jin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 715 KB

~ 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)

Ground states of semilinear elliptic equ
Ground states of semilinear elliptic equations: a geometric approach
โœ Rodrigo Bamรณn; Isabel Flores; Manuel del Pino ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 252 KB

We consider the problem u + u p + u q = 0, in R N 0 < u(x) โ†’ 0 as |x| โ†’ +โˆž, where 1 < p < (N + 2)/(N -2) < q. We prove that if q is fixed and we let p approach (N + 2)/(N -2) from below, then this problem has a large number of radial solutions. A similar fact takes place if we fix p > N/(N -2) and t