Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities

By Thomas Bartsch, Shuangjie Peng, Zhitao Zhang. 2007

69 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/10a1dab4b99b1691e88bfc92e8689eecccdc7510

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yanyan Li
2. Jann-Long Chern
3. Changshou Lin
4. Dongsheng Kang
5. Y. Huang
6. Lei Zhang
7. A. Malchiodi
8. Jun-cheng Wei

In Computational Theory and Mathematics

1. Yanyan Li
2. Jann-Long Chern
3. Changshou Lin
4. Dongsheng Kang
5. Y. Huang
6. Lei Zhang
7. A. Malchiodi
8. Chiun-Chuan Chen

In Mathematical Physics

1. Jann-Long Chern
2. Yanyan Li
3. Changshou Lin
4. Dongsheng Kang
5. Y. Huang
6. Haigang Li
7. Lei Zhang

Citations in the corpus

• Minimizers of Caffarelli–Kohn–Nirenberg Inequalities with the Singularity on the Boundary (2010, background): “The existence of w is proved in [2] and [18].”
• On the singular elliptic systems involving multiple critical Sobolev exponents (2011, background): “See for example [6–8,4,9–15,3] and the references therein.”
• A Nonlinear Elliptic PDE with Two Sobolev–Hardy Critical Exponents (2011, background): “The existence of entire solutions on the upper half space has been proved by Bartsch, Peng and Zhang [1] when 0 < s2 < s1 = 2 and λ < ( N−2 2 ) (2), by Musina [25] when N ≥ 4, s2 = 0, s1 = 2 and 0 < λ < ( 2 ) (2), and by Hsia, Lin and Wadade [17] when s2 = 0, 0 < s1 < 2 and λ > 0.”