𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy–Sobolev exponents

✍ Scribed by Xiao-Jiao Huang; Xing-Ping Wu; Chun-Lei Tang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
250 KB
Volume
74
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.

📜 SIMILAR VOLUMES

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