[1] |
Aubin T. Problèms isopérimétriques et espaces de Sobolev[J]. J Differential Geom, 1976, 11(4): 573-598.
|
[2] |
Talenti G. Best constant in Sobolev inequality[J]. Ann Mat Pura Appl, 1976, 110 (1): 353-372.
|
[3] |
Caffarelli L A, Gidas B, Spruck J. Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth[J]. Comm Pure Appl Math, 1989, 42 (3): 271-297.
|
[4] |
Aubin T. Equations diérentielles non linéaires et problème de Yamabe concernant la courbure scalaire[J]. J Math Pures Appl, 1976, 55(3): 269-296.
|
[5] |
Schoen R. Conformal deformation of a Riemannian metric to constant scalar curvature[J]. J Differential Geom, 1984, 20(2): 479-495.
|
[6] |
Chen C C, Lin C S. Estimate of the conformal scalar curvature equation via the method of moving planes. Ⅱ[J]. J Differential Geom, 1998, 49(1): 115-178.
|
[7] |
Marques F C. A priori estimates for the Yamabe problem in the non-locally conformally at case[J]. J Differential Geom, 2005, 71(2): 315-346.
|
[8] |
Gonzlez Nogueras M M, Qing J. Fractional conformal Laplacians and fractional Yamabe problems[J]. Anal PDE, 2003, 6(7): 1 535-1 576.
|
[9] |
Lieb E H, Loss M. Analysis[M]. Second edition. Providence, RI: Amer Math Soc, 2001.
|
[10] |
Dvila J, del Pino M, Sire Y. Nondegeneracy of the bubble in the critical case for nonlocal equations[J]. Proc Amer Math Soc, 2013,141(11): 3 865-3 870.
|
[11] |
Graham C R, Zworski M. Scattering matrix in conformal geometry[J]. Invent Math, 2003, 152(1): 89-118.
|
[12] |
Mazzeo R R, Melrose R B. Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature[J]. J Funct Anal, 1987, 75 (2): 260-310.
|
[13] |
Graham C R, Jenne R, Mason L J, et al. Conformally invariant powers of the Laplacian, I: Existence[J]. J London Math Soc, 1992, 46(3): 557-565.
|
[14] |
Caffarelli L, Silvestre L. An extension problem related to the fractional Laplacian[J]. Comm Partial Differential Equations, 2007, 2(7-9):1 245-1 260.
|
[15] |
Chang S A, del Mar Gonzlez M. Fractional Laplacian in conformal geometry[J]. Adv Math, 2011, 226(2): 1 410-1 432.
|
[16] |
Branson T P. Sharp inequalities, the functional determinant, and the complementary series[J]. Trans Amer Math Soc, 1995, 347 (10): 3 671-3 742.
|
[17] |
Lee J M, Parker T H. The Yamabe problem[J]. Bull Amer Math Soc (N.S.), 1987, 17(1): 37-91.
|
[18] |
Chavel I. Eigenvalues in Riemannian Geometry[M]. Orlando, FL: Academic Press, 1984:35.
|
[1] |
Aubin T. Problèms isopérimétriques et espaces de Sobolev[J]. J Differential Geom, 1976, 11(4): 573-598.
|
[2] |
Talenti G. Best constant in Sobolev inequality[J]. Ann Mat Pura Appl, 1976, 110 (1): 353-372.
|
[3] |
Caffarelli L A, Gidas B, Spruck J. Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth[J]. Comm Pure Appl Math, 1989, 42 (3): 271-297.
|
[4] |
Aubin T. Equations diérentielles non linéaires et problème de Yamabe concernant la courbure scalaire[J]. J Math Pures Appl, 1976, 55(3): 269-296.
|
[5] |
Schoen R. Conformal deformation of a Riemannian metric to constant scalar curvature[J]. J Differential Geom, 1984, 20(2): 479-495.
|
[6] |
Chen C C, Lin C S. Estimate of the conformal scalar curvature equation via the method of moving planes. Ⅱ[J]. J Differential Geom, 1998, 49(1): 115-178.
|
[7] |
Marques F C. A priori estimates for the Yamabe problem in the non-locally conformally at case[J]. J Differential Geom, 2005, 71(2): 315-346.
|
[8] |
Gonzlez Nogueras M M, Qing J. Fractional conformal Laplacians and fractional Yamabe problems[J]. Anal PDE, 2003, 6(7): 1 535-1 576.
|
[9] |
Lieb E H, Loss M. Analysis[M]. Second edition. Providence, RI: Amer Math Soc, 2001.
|
[10] |
Dvila J, del Pino M, Sire Y. Nondegeneracy of the bubble in the critical case for nonlocal equations[J]. Proc Amer Math Soc, 2013,141(11): 3 865-3 870.
|
[11] |
Graham C R, Zworski M. Scattering matrix in conformal geometry[J]. Invent Math, 2003, 152(1): 89-118.
|
[12] |
Mazzeo R R, Melrose R B. Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature[J]. J Funct Anal, 1987, 75 (2): 260-310.
|
[13] |
Graham C R, Jenne R, Mason L J, et al. Conformally invariant powers of the Laplacian, I: Existence[J]. J London Math Soc, 1992, 46(3): 557-565.
|
[14] |
Caffarelli L, Silvestre L. An extension problem related to the fractional Laplacian[J]. Comm Partial Differential Equations, 2007, 2(7-9):1 245-1 260.
|
[15] |
Chang S A, del Mar Gonzlez M. Fractional Laplacian in conformal geometry[J]. Adv Math, 2011, 226(2): 1 410-1 432.
|
[16] |
Branson T P. Sharp inequalities, the functional determinant, and the complementary series[J]. Trans Amer Math Soc, 1995, 347 (10): 3 671-3 742.
|
[17] |
Lee J M, Parker T H. The Yamabe problem[J]. Bull Amer Math Soc (N.S.), 1987, 17(1): 37-91.
|
[18] |
Chavel I. Eigenvalues in Riemannian Geometry[M]. Orlando, FL: Academic Press, 1984:35.
|