𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On elliptic problems involving critical Hardy–Sobolev exponents and sign-changing function

✍ Scribed by Rodrigo da Silva Rodrigues

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
533 KB
Volume
73
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Quasilinear elliptic problems involving
Quasilinear elliptic problems involving multiple critical Hardy–Sobolev exponents
✍ Dongsheng Kang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 619 KB

In this paper, we study a kind of quasilinear elliptic problem which involves multiple critical Hardy-Sobolev exponents and Hardy terms. By employing the variational methods and analytical techniques, the existence of sign-changing solutions to the problem is obtained.

Multiple solutions for inhomogeneous ell
Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev–Hardy exponents
✍ Dongsheng Kang; Yinbin Deng 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 278 KB

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

On the elliptic problems involving multi
On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev–Hardy exponents
✍ Dongsheng Kang; Guiqing Li 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 197 KB

Let Ω ⊂ R N (N ≥ 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