Existence of Solutions for P-laplace Equation with Critical Exponent
β Scribed by Bin Xu; Peng Yanfang
- Book ID
- 116833818
- Publisher
- Elsevier
- Year
- 2012
- Tongue
- English
- Weight
- 268 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1875-3892
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π SIMILAR VOLUMES
## Let β R N be a smooth bounded domain such that 0 β ; N ΒΏ 3; 0 6 s Β‘ 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
This paper is concerned with the existence and nodal character of the nontrivial solutions for the following quasilinear elliptic equations involving critical Sobolev exponents: -N
In this paper, we consider the semilinear elliptic equation For p=2NΓ(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