On some Schroedinger-type variational inequalities

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1. [1] C. Baiocchi - A.C. Capelo, Variational and Quasi-Variational Inequalities. Applications to Free Boundary Problems, J. Wiley and Sons, Chichester (1984). Zbl0551.49007MR745619
2. [2] V. Barbu, Nonlinear Semigroups and DifferentialEquations in Banach Spaces, Noordhoff, Leiden (1976). Zbl0328.47035MR390843
3. [3] C. Bardos-'H. BREZIS, Sur une classe de problèmes d'évolution nonlinéaires, J. Differential Equations, 6 (1969), pp. 343-395. Zbl0176.09003MR242020
4. [4] M.L. Bernardi - F. Luterotti, 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. Zbl0828.35001MR1260454
5. [5] M.L. Bernardi - F. LUTEROTTI, On some hyperbolic variational inequalities, Adv. Math. Sci. Appl., 6 (1996), pp. 79-95. Zbl0879.49008MR1385760
6. [6] H. Brezis, Problèmes unilatéraux, J. Math. Pures Appl., 51 (1972), pp. 1-168. Zbl0237.35001MR428137
7. [7] R.W. Carroll, Abstract Methods in Partial Differential Equations, Harper and Row, New York (1969). Zbl0193.06501MR433480
8. [8] T. Cazenave, Equations de Schroedinger non linéaires en dimension deux, Proc. Roy. Soc. Edinburgh, 84-A (1979), pp. 327-346. Zbl0428.35021MR559676
9. [9] T. Cazenave - P. L. LIONS, Orbital stability of standing waves for some nonlinear Schroedinger equations, Comm. Math. Phys., 85 (1982), pp. 549-561. Zbl0513.35007MR677997
10. [10] J. Ginibre - 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. Zbl0396.35028MR533219
11. [11] J. Ginibre - G. Velo, The global Cauchy problem for the nonlinear Schroedinger equation revisited, Ann. Inst. Henri Poincaré, Analyse non linéaire, 2 (1985), pp. 309-327. Zbl0586.35042MR801582
12. [12] E. Hille - R.S. Phillips, Functional Analysis and Semi-Groups, A. M. S. Colloq. Publ., 31 (1957). Zbl0078.10004MR89373
13. [13] T. Kato, Perturbation Theory for Linear Operators (2-nd edition), Grundlehren, Bd. 132, Springer, Berlin (1976). Zbl0342.47009MR407617
14. [14] T. Kato, On nonlinear Schroedinger equations, Ann. Inst. Henri Poincaré, Physique théorique, 46 (1987), pp. 113-129. Zbl0632.35038MR877998
15. [15] J.L. Lions, Equations Différentielles Opérationnelles et Problèmes aux Limites, Grundlehren, Bd. 111, Springer, Berlin (1961). Zbl0098.31101MR153974
16. [16] J.L. Lions, Quelques méthodes de résolution des problèmes aux limites non-linéaires, Dunod-Gauthier Villars, Paris (1969). MR259693
17. [17] J.L. Lions - E. MAGENES, Non-Homogeneous Boundary Value Problems and Applications, I, II, III, Grundlehren, Bd. 181, 182, 183, Springer, Berlin (1972- 1973). Zbl0227.35001
18. [18] F. Luterotti, On some Schroedinger-type and hyperbolic variational inequalities, Rend. Sem. Mat. Univ. Pol. Torino, 53, 2 (1995), pp. 121-131. Zbl0853.35076MR1375407
19. [19] F. Merle, Determination of blow-up solutions with minimal mass for nonlinear Schroedinger equations with critical power, Duke Math. J., 69 (1993), pp. 427-454. Zbl0808.35141MR1203233
20. [20] G.A. Pozzi, 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. Zbl0183.15404MR229987
21. [21] G.A. Pozzi, 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. Zbl0197.07902MR249783