Artículos de revistas
Positive Solutions To A Non-radial Supercritical Klein-gordon-type Equation
Registro en:
Proceedings Of The Edinburgh Mathematical Society. , v. 49, n. 2, p. 383 - 389, 2006.
130915
10.1017/S0013091504001312
2-s2.0-33744815906
Autor
Lorca S.
Montenegro M.
Institución
Resumen
We find positive solutions to a nonlinear equation of Klein-Gordon type. Our analysis is carried out by truncating the related functional and estimating mountain pass solutions by Moser's iterative scheme. 49 2 383 389 Berestycki, H., Lions, P.-L., Existence of a ground state in nonlinear equations of the Klein-Gordon type (1980) Variational Inequalities and Complementarity Problems, Proc. Int. School of Nuclear Physics, Erice, 1978, pp. 35-51. , Wiley Berestycki, H., Lions, P.-L., Nonlinear scalar field equations, 1, Existence of a ground state (1983) Arch. Ration. Mech. Analysis, 82, pp. 313-345 Chaljub-Simon, A., Volkmann, P., Existence of ground states with exponential decay for semilinear elliptic equations in Rn (1988) J. Diff. Eqns, 76, pp. 374-390 Ding, W.Y., Ni, W.M., On the existence of positive entire solutions of a semilinear elliptic equation (1986) Arch. Ration. Mech. Analysis, 91, pp. 283-308 Lions, P.-L., The concentration-compactness principle in the calculus of variations, the limit case, I (1985) Rev. Mat. Iber., 1, pp. 145-201 Otani, M., Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations (1988) J. Funct. Analysis, 76, pp. 140-159 Strauss, W., Existence of solitary waves in higher dimensions (1977) Commun. Math. Phys., 55, pp. 149-162 Zhu, X.P., Multiple entire solutions of a semilinear elliptic equation (1988) Nonlin. Analysis, 12, pp. 1297-1316