@article{RSMUP_1997__98__1_0, author = {Bernardi, Marco Luigi and Luterotti, Fabio}, title = {On some {Schroedinger-type} variational inequalities}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {1--19}, publisher = {Seminario Matematico of the University of Padua}, volume = {98}, year = {1997}, mrnumber = {1492966}, zbl = {0892.35090}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1997__98__1_0/} }
TY - JOUR AU - Bernardi, Marco Luigi AU - Luterotti, Fabio TI - On some Schroedinger-type variational inequalities JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1997 SP - 1 EP - 19 VL - 98 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1997__98__1_0/ LA - en ID - RSMUP_1997__98__1_0 ER -
%0 Journal Article %A Bernardi, Marco Luigi %A Luterotti, Fabio %T On some Schroedinger-type variational inequalities %J Rendiconti del Seminario Matematico della Università di Padova %D 1997 %P 1-19 %V 98 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1997__98__1_0/ %G en %F RSMUP_1997__98__1_0
Bernardi, Marco Luigi; Luterotti, Fabio. On some Schroedinger-type variational inequalities. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997), pp. 1-19. http://www.numdam.org/item/RSMUP_1997__98__1_0/
[1] Variational and Quasi-Variational Inequalities. Applications to Free Boundary Problems, J. Wiley and Sons, Chichester (1984). | MR | Zbl
- ,[2] Equations in Banach Spaces, Noordhoff, Leiden (1976). | MR | Zbl
and[3] H. BREZIS, Sur une classe de problèmes d'évolution nonlinéaires, J. Differential Equations, 6 (1969), pp. 343-395. | MR | Zbl
-'[4] On a class of Schroedinger-type evolution inequalities, in Boundary Value Problems for Partial Differential Equations and Applications, Eds. J. L. LIONS and C. BAIOCCHI, Masson, Paris (1993), pp. 299-304. | MR | Zbl
- ,[5] F. LUTEROTTI, On some hyperbolic variational inequalities, Adv. Math. Sci. Appl., 6 (1996), pp. 79-95. | MR | Zbl
-[6] Problèmes unilatéraux, J. Math. Pures Appl., 51 (1972), pp. 1-168. | MR | Zbl
,[7] Abstract Methods in Partial Differential Equations, Harper and Row, New York (1969). | MR | Zbl
,[8] Equations de Schroedinger non linéaires en dimension deux, Proc. Roy. Soc. Edinburgh, 84-A (1979), pp. 327-346. | MR | Zbl
,[9] L. LIONS, Orbital stability of standing waves for some nonlinear Schroedinger equations, Comm. Math. Phys., 85 (1982), pp. 549-561. | MR | Zbl
- P.[10] G. VELO, On a class ofnonlinear Schroedinger equations. I: The Cauchy problem, general case. II: Scattering theory, general case, J. Funct. Anal., 32 (1979), pp. 1-32 and 33-71. | MR | Zbl
-[11] The global Cauchy problem for the nonlinear Schroedinger equation revisited, Ann. Inst. Henri Poincaré, Analyse non linéaire, 2 (1985), pp. 309-327. | Numdam | MR | Zbl
- ,[12] Functional Analysis and Semi-Groups, A. M. S. Colloq. Publ., 31 (1957). | MR | Zbl
- ,[13] Perturbation Theory for Linear Operators (2-nd edition), Grundlehren, Bd. 132, Springer, Berlin (1976). | MR | Zbl
,[14] On nonlinear Schroedinger equations, Ann. Inst. Henri Poincaré, Physique théorique, 46 (1987), pp. 113-129. | Numdam | MR | Zbl
,[15] Equations Différentielles Opérationnelles et Problèmes aux Limites, Grundlehren, Bd. 111, Springer, Berlin (1961). | MR | Zbl
,[16] Quelques méthodes de résolution des problèmes aux limites non-linéaires, Dunod-Gauthier Villars, Paris (1969). | MR
,[17] E. MAGENES, Non-Homogeneous Boundary Value Problems and Applications, I, II, III, Grundlehren, Bd. 181, 182, 183, Springer, Berlin (1972- 1973). | Zbl
-[18] On some Schroedinger-type and hyperbolic variational inequalities, Rend. Sem. Mat. Univ. Pol. Torino, 53, 2 (1995), pp. 121-131. | MR | Zbl
,[19] Determination of blow-up solutions with minimal mass for nonlinear Schroedinger equations with critical power, Duke Math. J., 69 (1993), pp. 427-454. | MR | Zbl
,[20] Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schroedinger lineari e non lineari. Parte Prima, Ann. Mat. Pura Appl., 78 (1968), pp. 197-258. | MR | Zbl
,[21] Problemi di Cauchy e problemi ai limiti per equazioni di evoluzione del tipo di Schroedinger lineari e non lineari. Parte Seconda, Ann. Mat. Pura Appl., 81 (1969), pp. 205-248. | MR | Zbl
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