The absence of solutions of elliptic systems with dynamic boundary conditions

Differential Equations

Volumn 38, Issue 6, 2002, Pages 808-815

  Kirane, M ^a,b   Nabana, E ^a,b   Pokhozhaev, S I ^a,b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036391789     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020358228313     Document Type: Article

References (19)

1. Kirane, M., Hokkaido Math. J., 1992, vol. 21, no. 2, pp. 221-229.
2. Andreucci, D. and Gianni, R., Adv. Differential Equations, 1996, vol. 1, no. 5, pp. 729-752.
3. Amann, H. and Fila, M.A., Acta Math. Univ. Comenian. (N.S.), 1997, vol. 66, no. 2 pp. 321-328.
4. Guedda, M., Kirane, M., Nabana, E., and Pohozaev, S.I., Nonexistence of Global Solutions to an Elliptic Equation with a Nonlinear Dynamical Boundary Condition of Parabolic Type, Preprint Université de Picardie Jules Verne, Lamfa, 2000.
5. Apushkinskaya, D.E. and Nazarov, A.I., Appl. Math., 2000, vol. 45, no. 1, pp. 69-80.
6. Bizhanova, G.I., Algebra i Analiz, 1994, vol. 6, no. 1, pp. 64-94.
7. Bizhanova, G.I. and Solonnikov, V.A., Algebra i Analiz, 1994, vol. 6, no. 6, pp. 30-50.
8. Rodrigues, J.F., Solonnikov, V.A., and Yi, F., Math. Ann., 1999, vol. 315, no. 1, pp. 61-95.
9. Escher, J., Progress in PDE: the Metz Surveys, 1992, vol. 2, pp. 138-148.
10. Escher, J., Commun. Partial Differential Equations, 1993, vol. 18, no. 7-8, pp. 1309-1364.
11. Fila, M., Levine, H.A., and Uda, Y., Math. Methods Appl. Sci., 1994, vol. 17, pp. 807-835.
12. Escobedo, M. and Herrero, M.A., J. Differential Equations, 1991, vol. 89, pp. 176-202.
13. Rencławowicz, J., Appl. Math. (Warsaw), 1998, vol. 25, pp. 313-326.
14. Rencławowicz, J., Applicationes Mathematicae, 2000, vol. 27, no. 2, pp. 203-218.
15. Fila, M. and Quittner, P., J. Math. Anal. and Appl., 1999, vol. 238, pp. 468-476.
16. Mitidieri, E. and Pokhozhaev, S.I., Dokl. Ross. Akad. Nauk, 1999, vol. 366, no. 1, pp. 13-17.
17. Pokhozhaev, S.I. and Tesei, A., Differents. Uravn., 2001, vol. 37, no. 4, pp. 521-528.
18. Dautray, R. and Lions, J-L., Analyse matématique et calcul numérique pour les sciences et les techniques, Masson, 1987, vol. 2.
19. Pohozaev, S.I. and Véron, L., Ann. Scuola Norm. Sup. Pisa Cl. Sci., 2000, vol. 29 (4), no. 2, pp. 393-420.