Symmetry of Positive Solutions for the Fractional Hartree Equation

[1] Chen W(2015)Liouville theorems involving the fractional Laplacian on a half space Adv Math 274 167-198

[2] Fang Y(2017)A direct method of moving planes for the fractional Laplacian Adv Math 308 404-437

[3] Yang R(2017)A direct method of moving planes on fractional order equations J Funct Anal 272 4131-4157

[4] Chen W(1971)A symmetry problem in potential theory Arch Ration Mech Anal 43 304-318

[5] Li C(2018)Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes J Differential Equations 265 2044-2063

[6] Li Y(2019)Regularity and classification of solutions to static Hartree equations involving fractional Laplacians Discrete and Continuous Dynamical Systems 39 1389-1403

[7] Chen W(1977)The Hartree-Fock theory for Coulomb systems Commun Math Phys 53 185-194

[8] Li Y(2014)Nonlinear equations for fractional Laplacians, I: regularity, maximum principles, and Hamiltonian estimates Ann Inst Henri Poincaré Anal Non Linéaire 31 23-53

[9] Zhang R(2007)Boson stars as solitary waves Commun Math Phys 274 1-30

[10] Serrin J(2013)Qualitative analysis for the Hartree-type equations SIAM J Math Anal 45 388-406

[1] Chen W(2015)Liouville theorems involving the fractional Laplacian on a half space Adv Math 274 167-198

[2] Fang Y(2017)A direct method of moving planes for the fractional Laplacian Adv Math 308 404-437

[3] Yang R(2017)A direct method of moving planes on fractional order equations J Funct Anal 272 4131-4157

[4] Chen W(1971)A symmetry problem in potential theory Arch Ration Mech Anal 43 304-318

[5] Li C(2018)Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes J Differential Equations 265 2044-2063

[6] Li Y(2019)Regularity and classification of solutions to static Hartree equations involving fractional Laplacians Discrete and Continuous Dynamical Systems 39 1389-1403

[7] Chen W(1977)The Hartree-Fock theory for Coulomb systems Commun Math Phys 53 185-194

[8] Li Y(2014)Nonlinear equations for fractional Laplacians, I: regularity, maximum principles, and Hamiltonian estimates Ann Inst Henri Poincaré Anal Non Linéaire 31 23-53

[9] Zhang R(2007)Boson stars as solitary waves Commun Math Phys 274 1-30

[10] Serrin J(2013)Qualitative analysis for the Hartree-type equations SIAM J Math Anal 45 388-406