Minimizers of Caffarelli–Kohn–Nirenberg Inequalities with the Singularity on the Boundary
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00205-009-0269-y.pdf
Reference20 articles.
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2. Bartsch T., Peng S., Zhang Z.: Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities. Calc. Var. Partial Differ. Equ. 30(1), 113–136 (2007)
3. Brézis H., Nirenberg L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36(4), 437–477 (1983)
4. Caffarelli L., Kohn R., Nirenberg L.: First order interpolation inequalities with weights. Composit. Math. 53(3), 259–275 (1984)
5. Catrina F., Wang Z.Q.: On the Caffarelli–Kohn–Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Comm. Pure Appl. Math. 54(2), 229–258 (2001)
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