Multiple positive solutions for Robin problem involving critical weighted Hardy–Sobolev exponents with boundary singularities
✍ Scribed by Song, Yuan-Yuan; Wu, Xing-Ping; Tang, Chun-Lei
- Book ID
- 121436807
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 401 KB
- Volume
- 414
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.
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
In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions.