In this paper, a singular elliptic system is investigated, which involves multiple critical Sobolev exponents and Hardy-type terms. By using variational methods and analytical techniques, the existence of positive and sign-changing solutions to the system is established.
Multiple positive solutions of nonhomogeneous elliptic systems involving critical Sobolev exponents
β Scribed by Pigong Han
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 185 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Let β R N be a smooth bounded domain such that 0 β , 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
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.