Artículos de revistas
On Critical Semilinear Elliptic Systems
Registro en:
Advances In Differential Equations. , v. 6, n. 7, p. 769 - 798, 2001.
10799389
2-s2.0-50449107309
Autor
Jianfu Y.
Institución
Resumen
We establish in this paper existence results for critical strongly indefinite semilinear elliptic systems defined on both bounded domains and RN. 6 7 769 798 Adams, R.A., (1975) Sobolev Spaces, , Academic Press Ambrosetti, A., Rabinowitz, P.H., Dual variational methods in critical point theory and applications (1973) J. Funct. Anal., 14, pp. 349-381 Ambrosetti, A., Srikanth, P.N., Superlinear elliptic problems and the dual principle in critical point theory (1984) J. Math. & Phys., 18, pp. 441-451 Ambrosetti, A., Struwe, M., A note on the problem -Δu = λu+u|u|2*-1 (1986) Manus. Math., 54, pp. 373-379 Benci, V., Cerami, G., Positive solutions of some nonlinear elliptic problems in exterior domains (1987) Arch. Rational Mech.Anal., 99, pp. 283-300 Benci, V., Fortunato, D., The dual method in critical point theory: multiplicity results for indefinite functional (1982) Ann. Mat. Pura Appl., 134, pp. 215-242 Berestycki, X.X.X., Lions, P.L., Nonlinear scalar field equations, I and II (1983) Arch. Rational Mech. Anal., 82, pp. 313-376 Bergh, J., Löfström, J., (1976) Interpolation Spaces-An Introduction, , Springer-Verlag Brèzis, H., Lieb, E., A relation between pointwise convergence of functions and convergence of functionals (1983) Proc. Amer. Math.Soc., 88, pp. 486-490 Brèzis, H., Nirenberg, L., Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents (1983) Comm. Pure Appl. Math., 36, pp. 437-478 Costa, D.G., On a class of elliptic systems in RN (1994) Elet.J.D.E., 7, pp. 1-14 Clarke, F.H., Ekeland, I., Hamiltonian trajectories having prescribed minimal period (1980) Comm. Pure Appl. Math., 33, pp. 103-116 Clèment, P.H., de Figueiredo, D.G., Mitidieri, E., Positive solutions of semilinear elliptic systems (1992) Comm. PDE, 17, pp. 923-940 Chang, K.C., (1986) Critical Point Theory and Its Applications, , Shanghai Sci. & Tech. Press Clèment, P.H., van der Vorst, R.C.A.M., On a semilinear elliptic system (1995) Diff.& Int.Equas., 8, pp. 1317-1329 de Figueiredo, D.G., Felmer, P.L., On supequadratic elliptic systems (1994) Trans. Amer. Math. Soc., 343, pp. 99-116 de Figueiredo, D.G., Jianfu, Y., Decay (1998) symmetry and existence of solutions of semilinear elliptic systems, Nonlinear Anal. TMA, 33, pp. 211-234 Gilbarg, D., Trudinger, N.S., (1983) Elliptic Partial Differential Equations of Second Order, , Springer-Verlag Hulshof, J., Mitidieri, E., van der Vorst, R., Strongly indefinite systems with critical Sobolev exponents (1998) Trans. Amer. Math. Soc., 350, pp. 2349-2365 Hulshof, J., van der Vorst, R., Differential systems with strongly indefinite variational structure (1993) J. Funct. Anal, 114, pp. 32-58 Hulshof, J., van der Vorst, R., Asymptotic behaviour of ground states (1996) Proc. Amer. Math.Soc., 124, pp. 2423-2431 Lions, P.L., The concentration-compactness principle in the calculus of variations. The locally case I & II (1984) Ann. I. H. Anal. Nonli., 1, pp. 109-283 Lions, P.L., The concentration-compactness principle in the calculus of variations. The limit case I (1985) Rev. Mat. Iber., 1 (1), pp. 145-201 Lions, P.L., The concentration-compactness principle in the calculus of variations. The limit case II (1985) Rev. Mat. Iber., 1 (2), pp. 45-121 Mitidieri, E., A Rellich type identity and applications (1993) Comm. PDE, 18 (1-2), pp. 125-151 Mawhin, J., Willem, M., (1993) Critical Point Theory and Hamiltonian Systems, , Springer-Verlag Rabinowitz, P., Minimax methods in critical point theory with applications to differential equations (1986) CBMS Regional Conf. Ser. in Math., (65). , Amer. Math. Soc., Providence, R.I Strauss, W., Existence of solitary waves in higher dimensions (1977) Comm. Math. Phys., 55, pp. 149-162 vanderVorst, R.C.A.M., Variational identities and applications to differential systems (1991) Arch. Rational Mech. Anal., 116, pp. 375-398 vanderVorst, R.C.A.M., Best constant for the embedding of H2nH1 o into L2N/(N-4) (1993) Diff. & Int. Equas., 6 (2), pp. 259-276 Wang, X.J., Sharp constant in Sobolev inequality (1993) Nonlinear Anal. TMA, 20 (3), pp. 261-268 Jianfu, Y., Xiping, Z., On the existence of nontrivial solution of a quasilinear elliptic boundary value problem for unbounded domains (1987) Acta Math. Sci., 7, pp. 341-359