Existence of solution to a critical equation with variable exponent
✍ Scribed by Fernández Bonder, Julián; Saintier, Nicolas; Silva, Analía
- Book ID
- 120270550
- Publisher
- The European Mathematical Information Service
- Year
- 2012
- Tongue
- English
- Weight
- 523 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1239-629X
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📜 SIMILAR VOLUMES
## Let ⊂ R N be a smooth bounded domain such that 0 ∈ ; N ¿ 3; 0 6 s ¡ 2; 2 \* (s Via the variational methods, We prove the existence of sign-changing solutions for the singular critical problem -u -u=|x| 2 = |u| 2 \* (s)-2 =|x| s u + |u| r-2 u with Dirichlet boundary condition on for suitable po
In this paper, we consider the semilinear elliptic equation For p=2NÂ(N&2), we show that there exists a positive constant +\\*>0 such that (V) + possesses at least one solution if + # (0, +\\*) and no solutions if +>+\\*. Furthermore, (V) + possesses a unique solution when +=+\\*, and at least two s