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Existence theorems for generalized Klein-Gordon equations
Author(s):
Ezzat S.
Noussair;
Charles A.
Swanson
Journal:
Bull. Amer. Math. Soc.
8
(1983),
333-336.
MSC (1980):
Primary 35J65;
Secondary 35B40
MathSciNet review:
684902
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References:
- 1.
- A. Ambrosetti and P. H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973), 349-381. MR 370183
- 2.
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- 3.
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- 4.
- H. Berestycki, P. L. Lions and L. A. Peletier, An ODE approach to the existence of positive solutions for semilinear problems in R, Indiana Univ. Math. J. 30 (1981), 141-157. MR 600039
- 5.
- M. S. Berger, On the existence and structure of stationary states for a nonlinear Klein-Gordon equation, J. Funct. Anal. 9 (1972), 249-261. MR 299966
- 6.
- M. S. Berger and M. Schechter, Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains, Trans. Amer. Math. Soc. 172 (1972), 261-278. MR 312241
- 7.
- T. Kato, Growth properties of solutions of the reduced wave equation with a variable coefficient, Comm. Pure Appl. Math. 12 (1959), 403-425. MR 108633
- 8.
- E. S. Noussair and C. A. Swanson, Positive solutions of semilinear Schrödinger equations in exterior domains, Indiana Univ. Math. J. 28 (1979), 993-1003. MR 551163
- 9.
- P. H. Rabinowitz, Pairs of positive solutions of nonlinear elliptic partial differential equations, Indiana Univ. Math. J. 23 (1973), 173-186. MR 318667
- 10.
- W. A. Strauss, Existence of solitary waves in higher dimensions, Comm. Math. Phys. 55 (1977), 149-162. MR 454365
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15108-X
PII:
S 0273-0979(1983)15108-X
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