@article{AIHPC_2004__21_6_767_0,
author = {Ghoussoub, Nassif A. and Kang, X. S.},
title = {Hardy-Sobolev critical elliptic equations with boundary singularities},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {21},
year = {2004},
pages = {767-793},
doi = {10.1016/j.anihpc.2003.07.002},
zbl = {02137604},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2004__21_6_767_0}
}
Ghoussoub, N.; Kang, X. S. Hardy-Sobolev critical elliptic equations with boundary singularities. Annales de l'I.H.P. Analyse non linéaire, Tome 21 (2004) pp. 767-793. doi : 10.1016/j.anihpc.2003.07.002. http://gdmltest.u-ga.fr/item/AIHPC_2004__21_6_767_0/
[1] , , The Neumann problem for elliptic equations with critical nonlinearity, Scoula Norm. Sup. Pisa (1991) 9-25. | MR 1205370 | Zbl 0836.35048
[2] , , A relation between point convergence of functions and convergence of functionals, Proc. Amer. Math. Soc 88 (1983) 486-490. | MR 699419 | Zbl 0526.46037
[3] , , Positive solutions of nonlinear elliptic equations involving critical exponents, Comm. Pure Appl. Math 36 (1983) 437-477. | MR 709644 | Zbl 0541.35029
[4] , , , First order interpolation inequality with weights, Compositio Math 53 (1984) 259-275. | Numdam | MR 768824 | Zbl 0563.46024
[5] , , On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence) and symmetry of extremal functions, Comm. Pure Appl. Math 2 (2001) 229-258. | MR 1794994 | Zbl 1072.35506
[6] , , A Neumann problem with critical Sobolev exponent, Houston J. Math 18 (1992) 279-294. | MR 1164110 | Zbl 0754.35039
[7] , Positive solutions of semilinear equations in cones, Trans. Amer. Math. Soc 11 (1992) 191-201. | MR 1034662 | Zbl 0766.35014
[8] , , Selected new aspects of the calculus of variations in the large, Bull. Amer. Math. Soc. (N.S.) 39 (2) (2002) 207-265. | MR 1886088 | Zbl 1064.35054
[9] , , , Riemannian Geometry, Springer-Verlag, 1987. | MR 909697 | Zbl 0636.53001
[10] , Duality and Perturbation Methods in Critical Point Theory, Cambridge Univ. Press, 1993. | MR 1251958 | Zbl 0790.58002
[11] , , Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents, Trans. Amer. Math. Soc 12 (2000) 5703-5743. | MR 1695021 | Zbl 0956.35056
[12] , , Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1983. | MR 737190 | Zbl 1042.35002
[13] E. Jannelli, S. Solimin, Critical behaviour of some elliptic equations with singular potentials, preprint, 1996.
[14] , Sobolev Spaces, Springer-Verlag, 1985. | MR 817985
[15] , , On the shape of least-energy solutions to a semilinear Neumann problem, Comm. Pure Appl. Math 44 (1991) 819-851. | MR 1115095 | Zbl 0754.35042
[16] , , Semiliner Neumann problem in exterior domains, Nonlinear Anal 31 (1998) 791-821. | MR 1488374 | Zbl 0910.35058
[17] , Variational Methods, Springer-Verlag, Berlin, 1990. | MR 1078018 | Zbl 0746.49010
[18] , Nodal solutions of semilinear elliptic equations with critical exponent, Differential Integral Equations 5 (1992) 25-42. | MR 1141725 | Zbl 0758.35035
[19] , Neumann problems of semilinear elliptic equations involving critical Sobolev exponents, J. Differential Equations 93 (1991) 671-684. | MR 1125221 | Zbl 0766.35017