Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: unilateral problems; quasivariational inequalities; variational inequalities; eigenvalue problems; partial differential inequalities; unilateral problems
Bosák, Miroslav. Bifurcation of stationary solutions to quasivariational inequalities. Mathematica Bohemica, Tome 119 (1994) no. 1, pp. 21-42. doi: 10.21136/MB.1994.126204
@article{10_21136_MB_1994_126204,
author = {Bos\'ak, Miroslav},
title = {Bifurcation of stationary solutions to quasivariational inequalities},
journal = {Mathematica Bohemica},
pages = {21--42},
year = {1994},
volume = {119},
number = {1},
doi = {10.21136/MB.1994.126204},
mrnumber = {1303549},
zbl = {0808.35039},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126204/}
}
TY - JOUR AU - Bosák, Miroslav TI - Bifurcation of stationary solutions to quasivariational inequalities JO - Mathematica Bohemica PY - 1994 SP - 21 EP - 42 VL - 119 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126204/ DO - 10.21136/MB.1994.126204 LA - en ID - 10_21136_MB_1994_126204 ER -
[1] J. P. Aubin A. Cellina: Differential Inclusions. Springer-Velag, Berlin, 1984. | MR
[2] C. Baiocchi A. Capelo: Disequazioni variazionali e quazivariazionali. Applicazioni a problemi di frontiera libera. Pitagora Editrice, Bologna, 1978.
[3] A. Bensoussan: Inéquations quasivariationelles et contrôle impulsionel. Atti Giorn. Analisi Convessa e Applicazioni (Roma, 1974), (21-26), Quad. gruppi ric. mat. C N. R.,. Univ. Roma, Roma.
[4] A. Bensoussan M. Goutsat. J. L. Lions: Contrôle impulsionel et inéquations quasivariationelles stationnaires. C R. Ac. Sci. Paris 276 (1973), 1279-1284. | MR
[5] M. Kučera M. Bosák: Bifurcation for quasivariational inequalities of reaction-diffusion type. Proceedings of the international conference on differential equations and mathematical modelling Equam, Varenna 1992.
[6] M. Degiovanni A. Marino: Non-smooth variational bifurcation. Atti Acc. Lincei Rend. Fis. 8, LXXXI (1987), 259-270. | MR
[7] A. Friedman: A class of parabolic quasi-variatinal inequalities, II. J. Diff. Eq. 22 (1976), 379-401. | DOI | MR
[8] S. Fučík A. Kufner: Nonlinear Differential Equations. Elsevier, Amsterdam, 1980. | MR
[9] S. Fučík J. Nečas J. Souček V. Souček: Spectral analysis of nonlinear operators. Lecture Notes in Mathematics 346, Springer, Berlin, 1973. | MR
[10] J. Joly U. Mosco: A propos de l'existence et de la régularité des solutions de certaines inéquations quasi-variationelles. J. Functional Anal. 34 (1979), 107-137. | DOI | MR
[11] M. Kučera: A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory. Čas. pěst. mat. 104 (1979), 389-411. | MR
[12] M. Kučera: A new method for obtaining eigenvalues of variational inequalities. Operators with multiple eigenvalues. Czechoslovak Math. J. 32(1982), 197-207. | MR
[13] M. Kučera: Bifurcation points of variational inequalities. Czechoslovak Math. J. 32 (107) (1982), 208-226. | MR
[14] J. L. Lions E. Magenes: Problèmes aux limites non homogènes. Dunod, Paris, 1968.
[15] E. Miersemann: Über höhere Verzweigungspunkte nichtlinearen Variationsungleichungen. Math. Nachr. 85 (1978), 195-213. | DOI | MR
[16] E. Miersemann: On higher eigenvalues of variational inequalities. Comment. Math. Univ. Carol. 24 (1983), 657-665. | MR | Zbl
[17] U. Mosco: Implicit variational problems and quasivariational inequalities. Nonlinear operators and the calculus of variations (Summer School, Univ. Libre Bruxelles, Brussels, 1975), Lecture Notes in Math., vol. 543. Springer, Berlin, 1976 83-156. | MR
[18] L. Nirenberg: Topics in Nonlinear Functional Analysis. Courant Institut, New York, 1974. | MR | Zbl
[19] P. Quittner: Solvability and multiplicity results for variational inequalities. Comment. Math. Univ. Carolin. 30 (1989), no. 3, 579-585. | MR | Zbl
[20] P. Quittner: Spectral analysis of variational inequalities. Comment. Math. Univ. Carol. 27 (1986), 605-629. | MR
Cité par Sources :