Positive solutions for some quasilinear equations with critical and supercritical growth
โ Scribed by Giovany M. Figueiredo; Marcelo F. Furtado
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 259 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
## Abstract We study the Cauchy problem for the quasilinear parabolic equation magnified image where __p__ > 1 is a parameter and ฯ is a smooth, bounded function on (1, โ) with โ โฉฝ __s__ฯโฒ(__s__)/ฯ(__s__) โฉฝ ฮธ for some ฮธ > 0. If 1 < __p__ < 1 + 2/__N__, there are no global positive solutions, wherea
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.