메뉴 건너뛰기




Volumn 29, Issue 1, 1997, Pages 9-26

Multiple solutions for a class of eigenvalue problems in hemivariational inequalities

Author keywords

Eigenvalue problem; Genus of Krasonel'skii; Hemivariational inequalities; Model of hysteresis; Nonsmooth critical point theory

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FUNCTIONS; HYSTERESIS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0031185506     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00039-9     Document Type: Article
Times cited : (39)

References (28)
  • 1
    • 0000439057 scopus 로고
    • Nonconvex superpotentials in the sense of F. H. Clarke and applications
    • PANAGIOTOPOULOS P. D., Nonconvex superpotentials in the sense of F. H. Clarke and applications, Mech. Res. Comm. 8, 335-340 (1981).
    • (1981) Mech. Res. Comm. , vol.8 , pp. 335-340
    • Panagiotopoulos, P.D.1
  • 4
    • 0041322297 scopus 로고
    • The eigenvalue problems in hemivariational inequalities and its applications to composite plates
    • KARAMANLIS H. N. & PANAGIOTOPOULOS P. D., The eigenvalue problems in hemivariational inequalities and its applications to composite plates. Journal of the Mech. Behaviour of Materials 15, 67-76 (1992).
    • (1992) Journal of the Mech. Behaviour of Materials , vol.15 , pp. 67-76
    • Karamanlis, H.N.1    Panagiotopoulos, P.D.2
  • 5
    • 0042825016 scopus 로고
    • Inéquations hémivariationnelles semi-coercives dans la théorie des plaques de Von Karman
    • PANAGIOTOPOULOS P. D., Inéquations hémivariationnelles semi-coercives dans la théorie des plaques de Von Karman, C. r. Acad. Sci. Paris 307, 735-738 (1988).
    • (1988) C. r. Acad. Sci. Paris , vol.307 , pp. 735-738
    • Panagiotopoulos, P.D.1
  • 6
    • 0000626499 scopus 로고
    • La Notion de Sur-Potentiel et les Liaisons Unilatérales en Elastostatiques
    • MOREAU J. J., La Notion de Sur-Potentiel et les Liaisons Unilatérales en Elastostatiques, C. r. Acad. Sci. Paris A 267, 954-957 (1968).
    • (1968) C. r. Acad. Sci. Paris A , vol.267 , pp. 954-957
    • Moreau, J.J.1
  • 7
    • 0040129041 scopus 로고
    • Hysteresis: The eigenvalue problem for hemivariational inequalities
    • (Edited by A. VISITIN). Longman Scientific & Technical, Harlow
    • MOTREANU D. & PANAGIOTOPOULOS P. D., Hysteresis: The eigenvalue problem for hemivariational inequalities. In Models of Hysteresis (Edited by A. VISITIN). Longman Scientific & Technical, Harlow (1993).
    • (1993) Models of Hysteresis
    • Motreanu, D.1    Panagiotopoulos, P.D.2
  • 8
    • 0000993645 scopus 로고
    • Variational methods for non-differentiable functional and their applications to partial differential equations
    • CHANG K.-C., Variational methods for non-differentiable functional and their applications to partial differential equations, J. math Analysis Applic. 80, 102-129 (1981).
    • (1981) J. Math Analysis Applic. , vol.80 , pp. 102-129
    • Chang, K.-C.1
  • 9
    • 0039111026 scopus 로고
    • Nonconvex energy functions, related eigenvalue hemivariational inequalities on the sphere and applications
    • MOTREANU D. & PANAGIOTOPOULOS P. D., Nonconvex energy functions, related eigenvalue hemivariational inequalities on the sphere and applications, J. Global Optim. 6, 163-177 (1995).
    • (1995) J. Global Optim. , vol.6 , pp. 163-177
    • Motreanu, D.1    Panagiotopoulos, P.D.2
  • 10
    • 0042323858 scopus 로고
    • An eigenvalue problem for a hemivariational inequality involving a nonlinear compact operator
    • MOTREANU D. & PANAGIOTOPOULOS P. D., An eigenvalue problem for a hemivariational inequality involving a nonlinear compact operator, Set-Valued Analysis 3, 1-9 (1995).
    • (1995) Set-Valued Analysis , vol.3 , pp. 1-9
    • Motreanu, D.1    Panagiotopoulos, P.D.2
  • 11
    • 0029704174 scopus 로고    scopus 로고
    • On the eigenvalue problem for hemivariational inequalities: Existence and multiplicity of solutions
    • MOTREANU D. & PANAGIOTOPOULOS P. D., On the eigenvalue problem for hemivariational inequalities: Existence and multiplicity of solutions, J. math. Anal. Applic. 197, 75-89 (1996).
    • (1996) J. Math. Anal. Applic. , vol.197 , pp. 75-89
    • Motreanu, D.1    Panagiotopoulos, P.D.2
  • 12
    • 0039703209 scopus 로고
    • A minimax approach to the eigenvalue problem of hemivariational inequalities and applications
    • MOTREANU D. & PANAGIOTOPOULOS P. D., A minimax approach to the eigenvalue problem of hemivariational inequalities and applications, Appl. Anal. 58, 53-76 (1995).
    • (1995) Appl. Anal. , vol.58 , pp. 53-76
    • Motreanu, D.1    Panagiotopoulos, P.D.2
  • 13
    • 0041822978 scopus 로고
    • On the buckling of adhesively connected Von Karman plates allowing for delamination. An eigenvalue hemivariational inequality approach
    • Asymptotics Theory for Plates and Shells (Edited by R. P. GILBERT and K. HACKL). Pitman
    • MOTREANU D. & PANAGIOTOPOULOS P. D., On the buckling of adhesively connected Von Karman plates allowing for delamination. An eigenvalue hemivariational inequality approach. In Asymptotics Theory for Plates and Shells (Edited by R. P. GILBERT and K. HACKL). Research Notes in Mathematics, Vol. 319. Pitman (1995).
    • (1995) Research Notes in Mathematics , vol.319
    • Motreanu, D.1    Panagiotopoulos, P.D.2
  • 17
    • 0002349602 scopus 로고
    • Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
    • SZULKIN A., Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems, Ann. Inst. H. Poincaré Anal. Non Linéaire 3, 77-109 (1986).
    • (1986) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.3 , pp. 77-109
    • Szulkin, A.1
  • 18
    • 0002224090 scopus 로고
    • A variant of the Lusternik-Schnirelman theory
    • CLARK D. C., A variant of the Lusternik-Schnirelman theory, Indiana Univ. math. J. 22, 65-74 (1972).
    • (1972) Indiana Univ. Math. J. , vol.22 , pp. 65-74
    • Clark, D.C.1
  • 19
    • 84878402878 scopus 로고
    • Minimax results of Lusternik-Schnirelman type and applications
    • Univerité de Montréal, Montréal
    • EKELAND I. & SZULKIN A., Minimax results of Lusternik-Schnirelman type and applications. Séminaire de Mathématiques Supérieures, Vol. 107. Univerité de Montréal, Montréal (1989).
    • (1989) Séminaire de Mathématiques Supérieures , vol.107
    • Ekeland, I.1    Szulkin, A.2
  • 22
    • 84966200432 scopus 로고
    • Variational and topological methods in nonlinear problems
    • NIRENBERG L., Variational and topological methods in nonlinear problems, Bull. Am. math. Soc. 4, 267-302 (1981).
    • (1981) Bull. Am. Math. Soc. , vol.4 , pp. 267-302
    • Nirenberg, L.1
  • 23
    • 84971744464 scopus 로고
    • Existence and multiplicity results for semicoercive unilateral problems
    • GOELEVEN D., NGUYEN V. H. & WILLEM M., Existence and multiplicity results for semicoercive unilateral problems, Bull. Aust. math. Soc. 49, 489-497 (1994).
    • (1994) Bull. Aust. Math. Soc. , vol.49 , pp. 489-497
    • Goeleven, D.1    Nguyen, V.H.2    Willem, M.3
  • 25
    • 0042323861 scopus 로고
    • Theory of buckling and postbuckling behavior of elastic structures
    • (Edited by CHIA-SHUN YIH). Academic Press, London
    • BUDIANSKI B., Theory of buckling and postbuckling behavior of elastic structures. In Advances in Applied Mechanics (Edited by CHIA-SHUN YIH). Academic Press, London (1994).
    • (1994) Advances in Applied Mechanics
    • Budianski, B.1
  • 26
    • 85033099739 scopus 로고    scopus 로고
    • Multiple solutions for a class of eigenvalue problems in hemivariational inequality
    • (Edited by M. CHIPOT and I. SHAFRIR). Longman Higher Education
    • GOELEVEN D., MOTREANU D. & PANAGIOTOPOULOS P. D., Multiple solutions for a class of eigenvalue problems in hemivariational inequality. Progress in partial differential equations: The Metz Surveys 4 (Edited by M. CHIPOT and I. SHAFRIR). Longman Higher Education (1996).
    • (1996) Progress in Partial Differential Equations: The Metz Surveys , vol.4
    • Goeleven, D.1    Motreanu, D.2    Panagiotopoulos, P.D.3
  • 27
    • 0041322289 scopus 로고
    • On the multiple solutions of the elliptic differential equations with discontinuous nonlinear terms
    • CHANG K. C., On the multiple solutions of the elliptic differential equations with discontinuous nonlinear terms, Sci. Sin. XXI, 139-158 (1978).
    • (1978) Sci. Sin. , vol.21 , pp. 139-158
    • Chang, K.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.