𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An elliptic equation with combined critical Sobolev–Hardy terms

✍ Scribed by Wenliang Gao; Shuangjie Peng

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
277 KB
Volume
65
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Global compactness results for quasiline
Global compactness results for quasilinear elliptic problems with combined critical Sobolev–Hardy terms
✍ Yuanyuan Li; Qianqiao Guo; Pengcheng Niu 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 330 KB

In this paper, we study the global compactness results for quasilinear elliptic problems involving combined critical Sobolev-Hardy terms on the whole space and a bounded smooth domain, respectively. That is, we give the complete descriptions for the Palais-Smale (PS) sequences of the corresponding e

On a semilinear elliptic equation with s
On a semilinear elliptic equation with singular term and Hardy–Sobolev critical growth
✍ Jianqing Chen 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 175 KB

## Abstract In a previous work [6], we got an exact local behavior to the positive solutions of an elliptic equation. With the help of this exact local behavior, we obtain in this paper the existence of solutions of an equation with Hardy–Sobolev critical growth and singular term by using variation

Existence and multiplicity of solutions
Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy–Sobolev critical exponents
✍ Ling Ding; Chun-Lei Tang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 224 KB

Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy-Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.

Existence of solutions for elliptic equa
Existence of solutions for elliptic equations with critical Sobolev–Hardy exponents
✍ Dongsheng Kang; Shuangjie Peng 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 244 KB

## 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