𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential

✍ Scribed by Daomin Cao; Shusen Yan


Publisher
Springer
Year
2009
Tongue
English
Weight
334 KB
Volume
38
Category
Article
ISSN
0944-2669

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Multiple solutions for inhomogeneous ell
✍ Dongsheng Kang; Yinbin Deng πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 278 KB

Let βŠ‚ R N be a smooth bounded domain such that 0 ∈ , N 3, 0 s < 2, 2 \* (s) := 2(N - s)/N -2 is the critical Sobolev-Hardy exponent, f (x) is a given function. By using the Ekeland's variational principle and the mountain pass lemma, we prove the existence of multiple solutions for the singular crit

On the elliptic problems involving multi
✍ Dongsheng Kang; Guiqing Li πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 197 KB

Let Ξ© βŠ‚ R N (N β‰₯ 3) be a smooth bounded domain such that the different points , are the critical Sobolev-Hardy exponents. We deal with the conditions that ensure the existence of positive solutions for the multi-singular and multi-critical elliptic problem with the Dirichlet boundary condition, in

Positive solutions for elliptic equation
✍ Pigong Han; Zhaoxia Liu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 216 KB

In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions.

Arbitrary many boundary peak solutions f
✍ Juncheng Wei; Shusen Yan πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 310 KB

We consider the following problem, where ΞΌ > 0 is a large parameter, Ξ© is a bounded domain in R N , N 3 and 2 \* = 2N/(N -2). Let H (P ) be the mean curvature function of the boundary. Assuming that H (P ) has a local minimum point with positive minimum, then for any integer k, the above problem ha