Let ⊂ 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
✦ LIBER ✦
Positive solutions for Neumann elliptic problems involving critical Hardy–Sobolev exponent with boundary singularities
✍ Scribed by Yan-Ying Shang; Chun-Lei Tang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 937 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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## 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