Existence results for inequality problems with lack of convexity

Numerical Functional Analysis and Optimization

Volumn 21, Issue 7-8, 2000, Pages 869-884

  Motreanu, Dumitru ^a   Rǎdulescu, Vicenţiu ^b  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^b UNIVERSITY OF CRAIOVA   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONFORMAL MAPPING; FUNCTIONS; MATHEMATICAL OPERATORS; SET THEORY; THEOREM PROVING; VARIATIONAL TECHNIQUES;

BANACH SPACE; CLARKE DERIVATIVE; HARTMAN-STAMPACCHIA THEOREM; HEMIVARIATIONAL INEQUALITIES; LIPSCHITZ FUNCTIONAL; NETWORKS SEMIPERMEABILITY; NONCONVEX SEMIPERMEABILITY; NONLINEAR OPERATOR;

PROBLEM SOLVING;

EID: 0343725793     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630560008816991     Document Type: Article

References (20)

1. K.C. Chang, Variational methods for non-differentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl. 80 (1981), 102-129.
2. F.H. Clarke. Optimization and Nonsmooth Analysis, Willey, New York, 1983.
3. J. Dugundji and A. Granas, KKM-maps and variational inequalities, Ann. Scuola Norm. Sup. Pisa 5 (1978), 679-682.
4. G. Fichera, Problemi elastostatici con vincoli unilaterali: il problema di Signorini con ambigue condizioni al contorno, Mem. Accad. Naz. Lincei 7 (1964), 91-140.
5. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Academic Press, 1980.
6. B. Knaster, K. Kuratowski and S. Mazurkiewicz, Ein Beweis des Fixpunktsatzes für n-dimensionale Simplexe, Fund. Mat. 14 (1929), 132-137.
7. J.L. Lions and G. Stampacchia, Variational inequalities, Comm. Pure Appl. Math. 20 (1967), 493-519.
8. J.J. Moreau, La notion de sur-potentiel et ses liaisons unilatérales en élastostatique, C.R. Acad. Sci. Paris, Sériz I, Mathématiques 267 (1968), 954-957.
9. U. Mosco, Implicit variational problems and quasi-variational inequalities, in Nonlinear Operators and the Calculus of Variations (J.P. Gossez, E.J. Lami Dozo, J. Mawhin and L. Waelbroeck, Eds.), Lecture Notes in Mathematics 543, Springer-Verlag, Berlin, 1976, pp. 83-156.
10. D. Motreanu and P.D. Panagiotopoulos, Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities and Applications. Kluwer Academic Publishers, Nonconvex Optimization and Its Applications, Vol. 29, Dordrecht / Boston / London, 1999.
11. Z. Naniewicz and P.D. Panagiotopoulos, Mathematical Theory of Hemivariational Inequalities and Applications, Marcel Dekker, New York, 1995.
12. J. Naumann and H.V. Wenk, On eigenvalue problems for variational inequalities. Rendiconti di Matematica 9 (1976), 439-463.
13. W. Oetsli and W Prager, Flow in networks with amplification and coupling, Unternehmensforschung 10 (1966), 42-58.
14. P.D. Panagiotopoulos, Une généralisation non-convexe de la notion de sur-potentiel et ses applications, C.R. Acad. Sci. Paris, Série II, Mécanique 296 (1983), 1105-1108.
15. P.D. Panagiotopoulos, Nonconvex energy functions. Hemivariational inequalities and substationarity principles, Acta Mechanica 42(1983), 160-183.
16. P.D. Panagiotopoulos, Nonconvex superpotentials and hemivariational inequalities; Quasidiferentiability in Mechanics, in Nonsmooth Mechanics and Applications (J.J. Moreau and P.D. Panagiotopoulos, Eds.) CISM Courses and Lectures No. 302, Springer-Verlag, Wien/New-York, 1983.
17. P.D. Panagiotopoulos, Hemivariational Inequalities: Applications to Mechanics and Engineering, Springer-Verlag, New-York/Boston/Berlin, 1993.
18. P.D. Panagiotopoulos and V.D. Rǎdulescu, Perturbations of hemivariational inequalities with constraints and applications, J. Global Optimiz. 12 (1998), 285-297.
19. W. Prager, Problems of network flow, Zeitschrift für Angewandte Mathematik und Physik (Z.A.M.P.) 16 (1965). 185-193.
20. A. Szulkin, Minimax principles for lower semi continuous functions and applications to nonlinear boundary value problems, Ann. Inst. Henri Poincaré, Analyse non linéaire 3 (1986), 77-109.