Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
β Scribed by Xu-Jia Wang
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 927 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0022-0396
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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.
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