@article{AFST_1989_5_10_2_215_0, author = {Marco Degiovanni}, title = {Bifurcation problems for nonlinear elliptic variational inequalities}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {215--258}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {Ser. 5, 10}, number = {2}, year = {1989}, zbl = {0656.58030}, mrnumber = {1425487}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_1989_5_10_2_215_0/} }
TY - JOUR AU - Marco Degiovanni TI - Bifurcation problems for nonlinear elliptic variational inequalities JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1989 SP - 215 EP - 258 VL - 10 IS - 2 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_1989_5_10_2_215_0/ LA - en ID - AFST_1989_5_10_2_215_0 ER -
%0 Journal Article %A Marco Degiovanni %T Bifurcation problems for nonlinear elliptic variational inequalities %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1989 %P 215-258 %V 10 %N 2 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_1989_5_10_2_215_0/ %G en %F AFST_1989_5_10_2_215_0
Marco Degiovanni. Bifurcation problems for nonlinear elliptic variational inequalities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 10 (1989) no. 2, pp. 215-258. https://afst.centre-mersenne.org/item/AFST_1989_5_10_2_215_0/
[1] Variational convergence for functions and operators, Applicable Mathematics Series, Pitman (Advanced Publishing Program), Boston, Mass. - London, 1984. | MR | Zbl
). -[2] Problèmes variationnels et théorie du potentiel non linéaire, Ann. Fac. Sci. Toulouse 1, 1979, p. 89-136. | EuDML | Numdam | MR | Zbl
), ). -[3] Positive solutions of some eigenvalue problems in the theory of variational inequalities, J. Math. Anal. Appl. 61, 1977, p. 165-187. | MR | Zbl
). -[4] Su un problema di autovalori per disequazioni variazionali, Ann. Mat. Pura Appl. (4) 107, 1975, p. 359-371. | MR | Zbl
), ). -[5] On von Karman's equations and the buckling of a thin elastic plate, I the clamped plate, Comm. Pure Appl. Math. 20 1967, p. 687-719. | MR | Zbl
). -[6] Von Karman's equations and the buckling of a thin elastic plate, II plate with general edge conditions, Comm. Pure Appl. Math. 21, 1968, p. 227-241. | MR | Zbl
), ). -[7] Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme, Math. Z. 127, 1972, p. 105-126. | EuDML | MR | Zbl
). -[8] Evolution equation for the eigenvalue problem for the Laplace operator with respect to an obstacle (preprint), Dip. Mat. Pisa, 214, Pisa, 1987. | MR | Zbl
), ), ).-[9] Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle and non-tangency conditions, Nonlinear Anal., in press. | MR | Zbl
), ), ). -[10] On the integral representation of certain local functionals, Ricerche Mat. 32, 1983, p. 85-113. | MR | Zbl
). -[11] Evolution equations for a class of nonlinear operators, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.. (8) 75, 1983, 1-8 1984. | MR | Zbl
), ), ), ). -[12] Su un tripo di convergenza variazionale, Rend. Sem. Mat. Brescia 3, 1979, p. 63-101.
), ).-[13] Homotopical properties of a class of nonsmooth functions, Ann. Mat. Pura Appl., in press. | MR | Zbl
).-[14] On the buckling of a thin elastic plate subjected to unilatera constraints, Nonlinear Variational Problems, (Isola d'Elba, 1986), Procceedings, in press. | Zbl
).-[15] Alcuni problemi di autovalori e di biforcazione rispetto ad un ostacolo, Equazioni Differenziali e Calcolo delle Variazioni (Pisa, 1985), p. 71-93, Editrice Tecnico Scientifica, Pisa, 1985.
), ).-[16] Bifurcation for some nonlinear elliptic variational inequalities, Variational Methods in Differential Problems (Trieste, 1985), Rend. Istit. Mat. Univ. Trieste 18 1986, p. 40-48. | MR | Zbl
), ).-[17] Non-smooth variational bifurcation, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 81, 1987, p. 259-269, 1988. | MR | Zbl
), ).-[18] Evolution equations with lack of convexity, Nonlinear Anal. 9, 1985, p. 1401-1443. | MR | Zbl
), ), ).-[19] Bifurcation theory for elastic plates subjected to unilateral conditions, J. Math. Anal. Appl. 60 1977, p. 435-448. | MR | Zbl
).-[20] Nonlinear bifurcation problem and buckling of an elastic plate subjected to unilateral conditions in its plane, Contemporary Developments in Continuum Mechanics and Partial Differential Equations (Proc. Internat. Sympos., Inst. Mat., Univ. Fed. Rio de Janeiro, Rio de Janeiro, 1977, p. 112-134, North-Holland Math. Studies, 30, North-Holland, Amsterdam, 1978. | MR | Zbl
). -[21] Bifurcation for odd potential operators and an alternative topological index, J. Funct. Anal. 26, 1977, p. 48-67. | MR | Zbl
), ).-[22] Topological methods in the theory of nonlinear integral equations, Gosudarstv. Izdat. Techn. - Teor. Lit., Moscow, 1956. The Macmillan Co., New-York, 1964. | MR
). -[23] A new method for obtaining eigenvalues of variational inequalities : operators with multiple eigenvalues, Czechoslovak Math. J. 32, 1982, p. 197-207. | MR | Zbl
).-[24] Bifurcation points of variational inequalities, Czechoslovak Math. J. 32, 1982, p. 208-226. | MR | Zbl
).-[25] The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory, Nonlinear Analysis (Collection of papers in honor of Erich H. ROTHE), p. 125-143, Academic Press, New-York, 1978. | MR | Zbl
), ), ).-[26] La biforcazione nel caso variazionale, Confer. Sem. Mat. Univ. Bari N. 132, 1973. | MR | Zbl
).-[27] Goedetiche con ostacolo, Boll. Un. Mat. Ital.B (6) 2, 1983, p. 1-31. | MR
), ).-[28] Bifurcation for non-differentiable operators with an application to elasticity, Arch. Rational Mech. Anal. 63, 1976, p. 1-45. | MR | Zbl
), ).-[29] Eigenwertaufgaben für Variation sungleichungen, Math. Nachr. 100, 1981, p. 221-228. | MR | Zbl
).-[30] On higher eigenvalues of variational inequalities, Comment. Math. Univ. Carolin. 24, 1983, p. 657-665. | MR | Zbl
).-[31] Spectral analysis of variational inequalities, Comment. Math. Univ. Carolin. 27, 1986, p. 605-629. | MR | Zbl
).-[32] Bifurcation points and eigenvalues of inequalites of reaction-diffusion type, J. Reine Angew. Math. 380, 1987, p. 1-13. | MR | Zbl
).-[33] Solvability and multiplicity results for variational inequalities, preprint. | MR
).-[34] A bifurcation theorem for potential operators, J. Funct. Anal. 25, 1977, p. 412-424. | MR | Zbl
). -[35] Minimax methods in critical point theory with applications to differential equations CBMS Regional Conference Series in Mathematics, 65, American Mathematical Society, Providence, R.I., 1986. | MR | Zbl
).-[36] Eigenvalue problems for nonlinear elliptic variational inequalities on a cone, J. Funct. Anal. 26, 1977, p. 333-355. | MR | Zbl
). -[37] Eigenvalue problems for nonlinear elliptic variational inequalities, Nonlinear Anal. 3, 1979, p. 1-33. | MR | Zbl
).-[38] Algebraic topology, McGraw, Hill Book Co., New-York, Toronto, Ont., London, 1966. | MR | Zbl
). -[39] Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble) 15, 1965, p. 189-257. | Numdam | MR | Zbl
). -[40] On a class of variational inequalities involving gradient operators, J. Math. Anal. Appl. 100, 1984, p. 486-499. | MR | Zbl
). -[41] On the solvability of a class of semilinear variational inequalities, Rend. Mat. (7) 4, 1984, p. 121-137. | MR | Zbl
). -[42] Positive solutions of variational inequalities : a degree-theoretic approach, J. Differential Equations 57, 1985, p. 90-111. | MR | Zbl
).-