Bifurcation of stationary solutions to quasivariational inequalities
Mathematica Bohemica (1994)
- Volume: 119, Issue: 1, page 21-42
- ISSN: 0862-7959
Access Full Article
topAbstract
topHow to cite
topBosák, Miroslav. "Bifurcation of stationary solutions to quasivariational inequalities." Mathematica Bohemica 119.1 (1994): 21-42. <http://eudml.org/doc/29358>.
@article{Bosák1994,
abstract = {Bifurcation and eigenvalue theorems are proved for a certain type of quasivariational inequalities using the method of a jump in the Leray-Schauder degree.},
author = {Bosák, Miroslav},
journal = {Mathematica Bohemica},
keywords = {unilateral problems; quasivariational inequalities; variational inequalities; eigenvalue problems; partial differential inequalities; unilateral problems; unilateral problems; quasivariational inequalities},
language = {eng},
number = {1},
pages = {21-42},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bifurcation of stationary solutions to quasivariational inequalities},
url = {http://eudml.org/doc/29358},
volume = {119},
year = {1994},
}
TY - JOUR
AU - Bosák, Miroslav
TI - Bifurcation of stationary solutions to quasivariational inequalities
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 1
SP - 21
EP - 42
AB - Bifurcation and eigenvalue theorems are proved for a certain type of quasivariational inequalities using the method of a jump in the Leray-Schauder degree.
LA - eng
KW - unilateral problems; quasivariational inequalities; variational inequalities; eigenvalue problems; partial differential inequalities; unilateral problems; unilateral problems; quasivariational inequalities
UR - http://eudml.org/doc/29358
ER -
References
top- J. P. Aubin A. Cellina, Differential Inclusions, Springer-Velag, Berlin, 1984. (1984) MR0755330
- C. Baiocchi A. Capelo, Disequazioni variazionali e quazivariazionali, Applicazioni a problemi di frontiera libera. Pitagora Editrice, Bologna, 1978. (1978)
- 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. (1974)
- A. Bensoussan M. Goutsat. J. L. Lions, Contrôle impulsionel et inéquations quasivariationelles stationnaires, C R. Ac. Sci. Paris 276 (1973), 1279-1284. (1973) MR0317144
- 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. (1992)
- M. Degiovanni A. Marino, Non-smooth variational bifurcation, Atti Acc. Lincei Rend. Fis. 8, LXXXI (1987), 259-270. (1987) MR0999818
- A. Friedman, 10.1016/0022-0396(76)90035-8, J. Diff. Eq. 22 (1976), 379-401. (1976) MR0437930DOI10.1016/0022-0396(76)90035-8
- S. Fučík A. Kufner, Nonlinear Differential Equations, Elsevier, Amsterdam, 1980. (1980) MR0558764
- S. Fučík J. Nečas J. Souček V. Souček, Spectral analysis of nonlinear operators, Lecture Notes in Mathematics 346, Springer, Berlin, 1973. (1973) MR0467421
- J. Joly U. Mosco, 10.1016/0022-1236(79)90028-4, J. Functional Anal. 34 (1979), 107-137. (1979) MR0551113DOI10.1016/0022-1236(79)90028-4
- M. Kučera, A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory, Čas. pěst. mat. 104 (1979), 389-411. (1979) MR0553173
- M. Kučera, A new method for obtaining eigenvalues of variational inequalities. Operators with multiple eigenvalues, Czechoslovak Math. J. 32(1982), 197-207. (1982) MR0654056
- M. Kučera, Bifurcation points of variational inequalities, Czechoslovak Math. J. 32 (107) (1982), 208-226. (1982) MR0654057
- J. L. Lions E. Magenes, Problèmes aux limites non homogènes, Dunod, Paris, 1968. (1968)
- E. Miersemann, 10.1002/mana.19780850116, Math. Nachr. 85 (1978), 195-213. (1978) MR0517651DOI10.1002/mana.19780850116
- E. Miersemann, On higher eigenvalues of variational inequalities, Comment. Math. Univ. Carol. 24 (1983), 657-665. (1983) Zbl0638.49020MR0738561
- 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. (1975) MR0513202
- L. Nirenberg, Topics in Nonlinear Functional Analysis, Courant Institut, New York, 1974. (1974) Zbl0286.47037MR0488102
- P. Quittner, Solvability and multiplicity results for variational inequalities, Comment. Math. Univ. Carolin. 30 (1989), no. 3, 579-585. (1989) Zbl0698.49004MR1014128
- P. Quittner, Spectral analysis of variational inequalities, Comment. Math. Univ. Carol. 27 (1986), 605-629. (1986) MR0873631
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.