Infinitely many solutions for some nonlinear elliptic equations in ℝN
✍ Scribed by Xiaohui Yu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 129 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1435
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we study the multiple solutions for the semilinear elliptic equation
where N 2, 11 for N = 2. We will prove that the problem possesses infinitely many solutions under some assumptions on Q(x).
📜 SIMILAR VOLUMES
In this paper we study symmetry properties for positive solutions of semilinear elliptic equation u + f u = 0 with mixed boundary condition in a spherical sector α R , where α, the amplitude of the sector, is between π and 2π. Under certain conditions on f u , we prove that all positive solutions ar
## Abstract The existence of travelling wave solutions for the heat equation ∂~__t__~ __u__ –Δ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (∂__u__ /∂__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin