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Volumn 7, Issue 4, 2002, Pages 479-502

Extremal solutions of a class of dynamic boundary hemivariational inequalities

Author keywords

Clarke's generalized gradient; d.c. functions; Evolution equations; Extremal solutions; Nonlinear parabolic equations; Nonmonotone multivalued boundary conditions; Truncation and comparison techniques; Upper and lower solutions

Indexed keywords


EID: 0036699836     PISSN: 10255834     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (11)
  • 1
    • 0000586550 scopus 로고
    • On the existence of extremal weak solutions for a class of quasilinear parabolic problems
    • Carl, S. (1993). On the existence of extremal weak solutions for a class of quasilinear parabolic problems, Differential Integral Equations, 6, 1493-1505.
    • (1993) Differential Integral Equations , vol.6 , pp. 1493-1505
    • Carl, S.1
  • 2
    • 0010836729 scopus 로고    scopus 로고
    • Existence of extremal periodic solutions for quasilinear parabolic equations
    • Carl, S. (1997). Existence of extremal periodic solutions for quasilinear parabolic equations, Abstr. Appl. Anal., 2(3,4), 257-270.
    • (1997) Abstr. Appl. Anal. , vol.2 , Issue.3-4 , pp. 257-270
    • Carl, S.1
  • 3
    • 0003274775 scopus 로고
    • Optimization and nonsmooth analysis
    • Philadelphia
    • Clarke, F.H., Optimization and Nonsmooth Analysis, SIAM, Philadelphia, 1990.
    • (1990) SIAM
    • Clarke, F.H.1
  • 5
    • 51249179923 scopus 로고
    • Nonlinear parabolic boundary value problems with upper and lower solutions
    • Deuel, J. and Hess, P. (1978). Nonlinear parabolic boundary value problems with upper and lower solutions, Israel J. Math., 29, 92-104.
    • (1978) Israel J. Math. , vol.29 , pp. 92-104
    • Deuel, J.1    Hess, P.2
  • 6
    • 0033102408 scopus 로고    scopus 로고
    • On parabolic hemivariational inequalities and applications
    • Miettinen, M. and Panagiotopoulos, P.D. (1998). On parabolic hemivariational inequalities and applications, Nonlinear Analysis, 35, 885-915.
    • (1998) Nonlinear Analysis , vol.35 , pp. 885-915
    • Miettinen, M.1    Panagiotopoulos, P.D.2
  • 9
    • 0003291397 scopus 로고    scopus 로고
    • Monotone operators in banach spaces and nonlinear partial differential equations
    • AMS
    • Showalter, R.E., Monotone Operators in Banach Spaces and Nonlinear Partial Differential Equations, Mathematical Surveys and Monographs, Vol. 49, AMS, 1997.
    • (1997) Mathematical Surveys and Monographs , vol.49
    • Showalter, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.