| Title: | Solvability and multiplicity results for variational inequalities (English) | 
| Author: | Quittner, Pavol | 
| Language: | English | 
| Journal: | Commentationes Mathematicae Universitatis Carolinae | 
| ISSN: | 0010-2628 (print) | 
| ISSN: | 1213-7243 (online) | 
| Volume: | 30 | 
| Issue: | 2 | 
| Year: | 1989 | 
| Pages: | 281-302 | 
| . | 
| Category: | math | 
| . | 
| MSC: | 47H19 | 
| MSC: | 49A29 | 
| MSC: | 49J40 | 
| idZBL: | Zbl 0698.49004 | 
| idMR: | MR1014128 | 
| . | 
| Date available: | 2008-06-05T21:38:35Z | 
| Last updated: | 2012-04-28 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/106746 | 
| . | 
| Reference: | [1] Drábek P., Kučera M., Míková M.: Bifurcation points of reaction-diffusion system with unilateral conditions.Czechoslovak Math. J. 35 (1985), 639-660. MR 0809047 | 
| Reference: | [2] Drábek P., Kučera M.: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions.Czechoslovak Math. J. 36 (1986), 116-130. MR 0822872 | 
| Reference: | [3] Kinderlehrer D., Stampacchia G.: An introduction to variational inequalities and their applications.Academic Press, New York, 1980. Zbl 0457.35001, MR 0567696 | 
| Reference: | [4] Kučera M.: A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory.Čas. Pěst. mat. 104 (1979), 389-411. MR 0553173 | 
| Reference: | [5] Kučera M.: A new method for obtaining eigenvalues of variational inequalities. Operators with multiple eigenvalues.Czechoslovak Math. J. 32 (1982), 197-207. MR 0654056 | 
| Reference: | [6] Kučera M.: Bifurcation points of variational inequalities.Czechoslovak Math. J. 32 (1982), 208-226. MR 0654057 | 
| Reference: | [7] Miersemann E.: Über höhere Verzweigunuspunkte nichtlinearer Variationsungleichungen.Math. Nachr. 85 (1978), 195-213. MR 0517651 | 
| Reference: | [8] Miersemann E.: Höhere Eigenwerte von Variationsungleichungen.Beiträge zur Analysis 17 (1981), 65-68. Zbl 0475.49016, MR 0663272 | 
| Reference: | [9] Miersemann E.: On higher eigenvalues of variational inequalities.Comment. Math. Univ. Carol. 24 (1983), 657-665. Zbl 0638.49020, MR 0738561 | 
| Reference: | [10] Quittner P.: A note to E. Miersemann's papers on higher eigenvalues of variational inequalities.Comment. Math. Univ. Carol. 26 (1985), 665-674. MR 0831803 | 
| Reference: | [11] Quittner P.: Spectral analysis of variational inequalities.Comment. Math. Univ. Carol. 27, 3 (1986), 605-629. MR 0873631 | 
| Reference: | [12] Quittner P.: Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.J. reine angew. Math 380 (1987), 1-13. Zbl 0617.35053, MR 0916198 | 
| Reference: | [13] Quittner P.: Spectral analysis of variational inequalities.Thesis, Praha, 1986. MR 0873631 | 
| Reference: | [14] Švarc R.: The solution of a Fučík's conjecture.Comment. Math. Univ. Carol. 25 (1984), 483-517. Zbl 0562.47049, MR 0775566 | 
| Reference: | [15] Švarc R.: The operators with jumping nonlinearities and combinatorics.Preprint. MR 0938476 | 
| Reference: | [16] Švarc R.: Some combinatorial results about the operators with jumping nonlinearities.Preprint. MR 0928685 | 
| Reference: | [17] Szulkin A.: On a class of variational inequalities involving gradient operators.J. Math. Anal. Appl. 100 (1984), 486-499. Zbl 0551.49008, MR 0743337 | 
| Reference: | [18] Szulkin A.: Positive solutions of variational inequalities: a degree-theoretic approach.J. Dif. Equations 57 (1985), 90-111. Zbl 0535.35029, MR 0788424 | 
| Reference: | [19] Szulkin A.: A noncoercive elliptic variational inequality.In "Nonlinear functional analysis and its applications", Proceedings of symposia in pure mathematics 45 (1986), 413-418. MR 0843627 | 
| Reference: | [20] Rabinowitz P. H.: A global theorem for nonlinear eigenvalue problems and applications.In "Contributions to nonlinear functional analysis", ed. E. H. Zarantonello, Academic Press, New York - London, 1971. Zbl 0271.47020, MR 0390858 | 
| Reference: | [21] Nirenberg L.: Topics in nonlinear functional analysis.Academic Press, New York - San Francisco - London, 1977. Zbl 0426.47034, MR 0488102 | 
| . |