Large solutions for a cooperative elliptic system of -Laplacian equations
โ Scribed by Yujuan Chen; Yueping Zhu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 304 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this work we consider the nonexistence of a positive entire solution for the quasilinear elliptic system where p, q > 1 and ฮฑ > q -1, ฮฒ > p -1. We study the effect of the asymptotic behavior of f (x), g(x) and solutions at infinity on the nonexistence of a positive solution for Problem (0.1). So
The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the ( p, q)-Laplacian with Dirichlet boundary condition. Our technical approach is based on the three-critical-points theorem obtained by B. Ricceri.
In this paper, we analyze the influence of the domain geometry in the second expansion of solutions to the boundary blow- where โฆ is a bounded domain with C 4 -smooth boundary in R N , b โ C ฮฑ ( ฮฉ) which is positive in โฆ and may be vanishing on the boundary, and f is normalized regularly varying at