Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities-Reference-Cited by-同舟云学术

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

Published:2007-01-24 Issue:1 Volume:30 Page:113-136
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Bartsch Thomas,Peng Shuangjie,Zhang Zhitao

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00526-006-0086-1.pdf

Reference41 articles.

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2. Abdellaoui B. and Peral I. (2003). On quasilinear elliptic equations related to some Caffarelli–Kohn– Nirenberg inequalities. Commun. Pure Appl. Anal. 2: 539–566

3. Abdellaoui B., Colorado E. and Peral I. (2004). Some remarks on elliptic equations with singular potentials and mixed boundary conditions. Adv. Nonlinear Stud. 4: 503–533

4. Abdellaoui B., Colorado E. and Peral I. (2006). Effect of the boundary conditions in the behavior of the optimal constant of some Caffarelli–Kohn–Nirenberg inequalities, Application to some doubly critical nonlinear elliptic problems. Adv. Diff. Equ. 11: 667–720

5. Almgren F. and Lieb E. (1989). Symmetric decreasing rearrangement is sometimes continuous. J. Amer. Math. Soc. 2: 683–773

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