caa a22 4500 469066458 CHVBK 20180323132909.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02722916 doi (NATIONALLICENCE)springer-10.1007/BF02722916 On variational principles for nonlinear partial differential equations in complex spaces [Elektronische Daten] [A. Borzí, G. Fonte] Summary: The necessary and sufficient conditions for an abstract equation in a complex Banach space to admit a variational principle, which one of us described in a previous paper, are here applied to a system of nonlinear partial differential equations of arbitrary order in a complexL 2 space. More specific and helpful conditions are thus obtained. General consequences and special implications for some classes of nonlinear Schröndinger equations are also discussed and differences from an analogous result valid only in real spaces are put in evidence. Società Italiana di Fisica, 1992 PACS 02.90 Other topics in mathematical methods in physics nationallicence PACS 03.65.Db Functional analytical methods nationallicence PACS 02.30 Function theory nationallicence analysis nationallicence Borzí A. Scuola Internazionale Superiore di Studi Avanzati (SISSA), Strada Costiera 11, 34014, Trieste, Italia aut Fonte G. Dipartimento di Fisica dell'Università, Corso Italia 57, 95129, Catania, Italia aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/2(1992-02-01), 189-201 107:2<189 1992 107 40764 https://doi.org/10.1007/BF02722916 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02722916 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Borzí A. Scuola Internazionale Superiore di Studi Avanzati (SISSA), Strada Costiera 11, 34014, Trieste, Italia aut NATIONALLICENCE 700 1- Fonte G. Dipartimento di Fisica dell'Università, Corso Italia 57, 95129, Catania, Italia aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/2(1992-02-01), 189-201 107:2<189 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer