Sobolev spaces in the presence of symmetries
Tài liệu tham khảo
Adams, 1978
Aubin, 1982, Nonlinear Analysis on manifolds, 252
Berestycki, 1979, Existence of a ground state in nonlinear equations of the type Klein-Gordon
Berger, 1971, Le spectre d'une variété Riemannienne, Lecture Notes in Mathematics, 194
Besse, 1987, Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, 10
Bredon, 1972
Carron, 1992, Inégalités isopérimétriques de Faber-Krahn et conséquences, Publication de l'Institut Fourier, 220
Coleman, 1978, Action minima among solutions to a class of euclidean scalar field equations, Communications in Mathematical Physics, 58, 211, 10.1007/BF01609421
Cotsiolis, 1995, Equations elliptiques non linéaires à croissance de Sobolev sur-critique, Bulletin des Sciences Mathématiques, 119, 419
Dieudonne, 1974
Ding, 1986, On a conformally invariant elliptic equation on Rn, Communications in Mathematical Physics, 107, 331, 10.1007/BF01209398
Gallot, 1993, Riemannian Geometry
Gromov, 1980
E. Hebey, Sobolev spaces on Riemannian manifolds, Lecture Notes in Mathematics, Springer-Verlag, 1635.
Kobayashi, 1972, Transformation groups in differential geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, 70
Lions, 1982, Symétrie et compacité dans les espaces de Sobolev, Journal of Functional Analysis, 49, 315, 10.1016/0022-1236(82)90072-6
Lions, 1985, The concentration-compactness principle in the calculus of variations I, II, Revista Mathematica Iberoamericana, 1, 145, 10.4171/RMI/6
Lions, 1985, The concentration-compactness principle in the calculus of variations I, II, Revista Mathematica Iberoamericana, 1, 45, 10.4171/RMI/12
Maheux, 1995, Analyse sur les boules d'un opérateur sous-elliptique, Mathematische Annalen, 303, 713, 10.1007/BF01461013
Strauss, 1977, Existence of Solitary waves in higher dimensions, Communications in Mathematical Physics, 55, 149, 10.1007/BF01626517
Varopoulos, 1989, Small time Gaussian estimates of heat diffusion kernels, Part I: the semigroup technique, Bulletin des Sciences Mathématiques, 113, 253