References
- Menzala GP, Strauss WA. On a wave equation with a cubic convolution. J. Differ. Eq. 1982;43:93–105.
- Menzala GP. On a semilinear wave equation: the Cauchy problem and the asymptotic behavior of solutions. J. Math. Anal. Appl. 1983;93:385–396.
- Miao C, Zhang J. On global solution to the Klein–Gordon–Hartree equation below energy space. J. Differ. Eq. 2011;250:3418–3447.
- Wu H, Zhang J. On the decay and scattering for Klein–Gordon–Hartree equation with radial data. Acta Math. Sci. 2012;32B:1835–1850.
- Lieb EH. Existence and uniqueness of the minimizing solution of Choquard’s nonlinear equation. Stud. Appl. Math. 1976/77;57:93–105.
- Menzala GP. On regular solutions of a nonlinear equation of Choquards type. Proc. Roy. Soc. Edinburgh Sect. A. 1980;86:291–301.
- Lions PL. The Choquard equation and related questions. Nonlinear Anal. T. M. A. 1980;4:1073–1079.
- Lions PL. The concentration compactness principle in the calculus of variations: the locally compact case 1. Ann. Inst. Henri Poincaré Anal. Nonlinéaire. 1984;1:105–145.
- Li X, Zhang J, Wu Y. Instability of standing Wave for the Klein–Gordon–Hartree equation. Acta Math. Sinica. 2014;30:861–871.
- Levandosky S. Stability and instability of fourth order solitary waves. J. Dyn. Differ. Eq. 1998;10:151–188.
- Ackermann N. On a periodic Schrödinger equation with nonlocal superlinear part. Math. Z. 2004;248:423–443.
- Grillakis M, Shatah J, Strauss W. Stability theory of solitary waves in the presence of symmetry, I. J. Funct. Anal. 1987;74:160–197.
- Shatah J. Stable standing waves of nonlinear Klein–Gordon equations. Comm. Math. Phys. 1983;91:313–327.
- Lopes O. Radial symmetry of minimizers for some translation and rotation invariant functionals. J. Differ. Eq. 1996;124:378–388.
- Cazenave T, Lions PL. Orbital Stability of standing waves for some nonlinear Schrödinger equations. Commun. Math. Phys. 1982;85:549–561.
- Chen J, Guo B. Strong instability of standing waves for a nonlocal Schrödinger equation. Physica D. 2007;227:142–148.
- Ma L, Zhao L. Classification of positive solitary solutions of the nonlinear Choquard equation. Arch. Rat. Mech. Anal. 2010;195:455–467.
- Stein EM. Singular integral and differentiability properties of functions. Princeton: Princeton University Press; 1970.
- Lieb EH. On the lowest eigenvalue of Laplacian for intersection of two domains. Invent. Math. 1983;74:441–448.
- Brezis H, Leib EH. Minimum action solutions of some vector field equations. Comm. Math. Phys. 1984;96:97–113.