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Elliptic equations with limiting sobolev exponents—the impact of topology

✍ Scribed by Haim Brezis

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
856 KB
Volume
39
Category
Article
ISSN
0010-3640

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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