On the existence and structure of stationary states for a nonlinear Klein-Gordon equation. (English) Zbl 0224.35061


35L70 Second-order nonlinear hyperbolic equations
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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[1] Kato, T., Growth properties of solutions of the reduced waveequation with a variable coefficient, Comm. Pure Appl. Math., 12, 403-425 (1959) · Zbl 0091.09502
[2] Nirenberg, L., On elliptic partial differential equations, Ann. Scuola Norm. Sup. Pisa, 13, 115-162 (1959) · Zbl 0088.07601
[3] Vainberg, M., Variational Methods for the Study of Nonlinear Operators (1964), Holden Day: Holden Day San Francisco · Zbl 0122.35501
[4] Glazman, I., Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators (1963), Davey, Hartford: Davey, Hartford Conn, (English translation 1965) · Zbl 0143.36504
[5] Rosen, G., Existence of particlelike solutions in nonlinear field theory, J. Mathematical Phys., 7, 2066-2070 (1966)
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