Solutions for a class of singular semilinear elliptic equations
โ Scribed by Zhiren Jin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 715 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ 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. โข
๐ SIMILAR VOLUMES
Let โฆ be a bounded domain in R N (N โฅ 5) with smooth boundary โโฆ 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 โฆ , u = 0 on โโฆ , for suitable numbers ยต and ฮป.
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.