@article{ASNSP_1997_4_24_2_367_0, author = {Cl\'ement, Philippe and Felmer, Patricio and Mitidieri, Enzo}, title = {Homoclinic orbits for a class of infinite dimensional hamiltonian systems}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {367--393}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 24}, number = {2}, year = {1997}, mrnumber = {1487960}, zbl = {0902.35051}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1997_4_24_2_367_0/} }
TY - JOUR AU - Clément, Philippe AU - Felmer, Patricio AU - Mitidieri, Enzo TI - Homoclinic orbits for a class of infinite dimensional hamiltonian systems JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 367 EP - 393 VL - 24 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1997_4_24_2_367_0/ LA - en ID - ASNSP_1997_4_24_2_367_0 ER -
%0 Journal Article %A Clément, Philippe %A Felmer, Patricio %A Mitidieri, Enzo %T Homoclinic orbits for a class of infinite dimensional hamiltonian systems %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 367-393 %V 24 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1997_4_24_2_367_0/ %G en %F ASNSP_1997_4_24_2_367_0
Clément, Philippe; Felmer, Patricio; Mitidieri, Enzo. Homoclinic orbits for a class of infinite dimensional hamiltonian systems. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 24 (1997) no. 2, pp. 367-393. http://archive.numdam.org/item/ASNSP_1997_4_24_2_367_0/
[1] Periodic solutions to unbounded hamiltonian systems, Discrete and Continuous Dynamical Systems 1 (1995), 277-283. | Zbl
,[2] On (Lp - Lq) coerciveness for a class of integrodifferential equations on the line, Two lectures at the 23rd annual Voronezh Winter School of Mathematics (USSR), January 1990, Tech. Report 5-4-90, University of Voronezh.
,[3] Positive solutions of semilinear elliptic systems, Comm. Partial Differential Equations 17 (1992), 923-940. | Zbl
- - ,[4] Solutions homoclines d'un système hamiltonien non-borné et superquadratique, C. R. Acad. Sci. Paris Sén. I Math. 320 (1995), 1481-1484. | Zbl
- - ,[5] On a semilinear elliptic system, Differential Integral Eqquations 8 (1995), 1317-1329. | Zbl
- ,[6] Sommes d'operateurs linéaires et équations différentielles opérationnelles, J. Math. Pures App. 54 (1975), 305-387. | Zbl
- ,[7] Linear Parabolic Evolution Equations in L P spaces, Ann. Mat. Pura Appl. 138 (1984), 55-104. | Zbl
,[8] On the closedness of the sum of two closed operators, Math. Z. 196 (1987), 189-201. | Zbl
- ,[9] The Ekeland Variational Principle with Applications and Detours, Springer Verlag, Berlin, 1989.
,[10] On Superquadratic elliptic systems, Trans. Amer. Math. Soc. 343 (1994), 99-116. | Zbl
- ,[11] Periodic solutions of "superquadratic " hamiltonian systems, J. Diffefential Equations 102 (1993) 188-207. | Zbl
,[12] Elliptic Partial Differential Equations of Second Order, Grundlehren der Mathematischen Wissenschaften 224, Springer-Verlag, Berlin, 1977. | Zbl
- ,[13] Differential systems with strongly indefinite structure, J. Funct. Anal. 114 (1993), 32-58. | Zbl
- R.A.C.M. ,[14] Topological Methods in the theory of nonlinear integral equations, Mc Millan, New York, 1964.
,[15] On Hölder continuity of solutions and their derivatives of linear and quasilinear elliptic and parabolic equations, Trudy Mat. Inst. Steklov. 73 (1964), 172-220 (Russian); English translation in Amer. Math. Soc. Transl. 61 (1967), 207-269. | Zbl
- ,[16] A Rellich type identity and applications, Comm. Partial Differential Eqation 18 (1993), 125-151. | Zbl
,[17] Existence and non existence of nonlinear elliptic systems and the bi-harmonic equation, Differential Integral Equations. 5 (1992), 747-767. | Zbl
- ,[18] Eigenfunctions of the equation Δu + λf (u) = 0, Soviet Math. Dokl. 6 (1965), 1408-1411. | Zbl
,[19] Maximum Principles in Differential Equations, Prentice Hall, 1967. | Zbl
- ,[20] Evolutionary Integral Equations and Applications, Birkhäuser, Basel, 1993. | Zbl
,[21] On operators with bounded imaginary powers in Banach spaces, Math. Z. 203 (1990), 429-452. | Zbl
,[22] A general variational identity, Indiana Univ. Math. J. 35 (1986), 681-703. | Zbl
- ,[23] Minimax Methods in Critical Point Theory with applications to Differential Equations, CBMS Regional Conference Series in Math. 65, AMS, Providence RI, 1986. | Zbl
,[24] Homoclinic orbits for a class of hamiltonian systems, Proc. Roy. Soc. Edinburgh Sect. A 114 (1990), 33-38. | Zbl
,[25] A note on a semilinear elliptic equation in RN, in "Nonlinear Analysis, a tribute in honour of Giovanni Prodi" . Scuola Normale Superiore, Pisa, 1991. | Zbl
,[26] Homoclinic orbits in a first order superquadratic hamiltonian system: convergence of subharmonic orbits, J. Differentil Equation 94 (1991) 315-339. | Zbl
,[27] Variational identities and applications to differential systems, Arch. Rat. Mech. Anal. 116 (1991), 375-398. | Zbl
,