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Existence of solitary waves in higher dimensions. (English) Zbl 0356.35028


MSC:

35J60 Nonlinear elliptic equations
35L60 First-order nonlinear hyperbolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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[10] Rabinowitz, P.H.: Variational methods for nonlinear eigenvalue problems. In: Eigenvalues of nonlinear problems. Rome: C.I.M.E., Edizioni Cremonese 1974 · Zbl 0278.35040
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[12] Strauss, W.A.: On weak solutions of semi-linear hyperbolic equations. Anais Acad. Brasil. Ciencias42, 645–651 (1970) · Zbl 0217.13104
[13] Stuart, C.A.: Battelle Inst. math. report No. 75, 1973
[14] Synge, J.L.: On a certain non-linear differential equation. Proc. Roy. Irish Acad.62, 17–41 (1961) · Zbl 0104.31501
[15] Weinberger, H.: Variational methods for eigenvalue approximation. Philadelphia: SIAM 1974 · Zbl 0296.49033
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