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

MSC:
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 San Francisco · Zbl 0122.35501
[4] Glazman, I, Direct methods of qualitative spectral analysis of singular differential operators, (1963), 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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