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Applicable Analysis
An International Journal
Volume 55, 1994 - Issue 3-4
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Original Articles

Hemivariational inequalities with functions fulfilling directional growth condition

Pages 259-285 | Received 16 Jun 1993, Published online: 02 May 2007

  • Panagiotopoulos , P. D. 1981 . Nonconvex Superpotentials in the Sense of F. H. Clarke and Applications , 8 : 335 – 340 .
  • Panagiotopoulos , P. D. 1983 . Nonconvex Energy Functions. Hemivariational Inequalities and Substationary Principles . Acta Mechanica , 42 : 160 – 183 .
  • Panagiotopoulos , P. D. 1985 . Inequality Problems in Mechanics and Applications , Basel, , Switzerland : Birhhäuser Verlag .
  • Panagiotopoulos , P. D. 1989 . Russian translation , Moscow : Mir Publisher .
  • Panagiotopoulos , P. D. 1988 . Topics in Nonsmooth Mechanics , Edited by: Moreau: , J. J. , Panagiotopoulos , P. D. and Strang , G. Basel, , Switzerland : Birkhäuser Verlag .
  • clarke , F. H. 1975 . Generalized Gradient and Applications . Transactions of American Society , 205 : 247 – 262 .
  • Clarke , F. H. 1988 . Optimazation and Nonsmooth Analysis , New York : Wiley Interscience New York .
  • Rockafellar , R. T. 1980 . Generalized Derivatives and Subgradients of Nonconvex Functions . Candian Journal Mathematics , 32 : 257 – 280 .
  • Panagiotopoulos , P. D. 1991 . Corecive and Semicoercive Hemivariational Inequalities . Nonlinear Analysi, Theory, methods and Applications , 16 : 209 – 231 .
  • Panagiotopoulos , P. D. 1988 . Variational-Hemivariational Inequalities in Nonlinear Elasticity . Aplikace Matematiky , 33 : 249 – 268 .
  • Moreau , J. J. and Panagiotopoulos , P. D. 1988 . “ Nonsmooth Mechanics and Applications ” . In CISM courses and Lectures , Vol. 302 , 81 – 176 . Wien, , Austria : Springer Verlag .
  • Panagiotopoulos , P. D. and Stavroulakis , G. E. 1988 . A Variational Hemiveriational Inequality Approach to the Laminated Plate Theory under Subdifferential Boundary Conditions . Quarterly of Applied Mathematics , 48 : 409 – 430 .
  • Panagiotopoulos , P. D. and Koltsakis , E. 1990 . The Nonmonotone Skin Effect in Plane Elasticity. . Problems obeying to Subdifferential Materials Laws Zamm. , 13 ( 21 )
  • Panagiotopoulos , P. D. , Baniotopoulos , C. C. and Naniewicz , Z. 1989 . On some Nonmonotome Subdifferential Boundary conditions in Elastostatics . Ingenieur-Archiv , 60 ( 21 ) : 31 – 40 .
  • Naniewiez , Z. 1989 . On some Nonconvex Variational Problems Related to Hemivariational Inequalities . Nonlinear Analysis, Theory. Methods and Applications , 13 ( 21 ) : 87 – 100 .
  • Nanieqicz , Z. and Wozniak , C. 1988 . On the Quasi-Stationary Models of Debonding Process in Layered Composites . Ingenieur-Archiv , 58 ( 21 ) : 403 – 412 .
  • Naniewicz , Z. 1992 . On the Pseudo-M onotonicity of Generalized Gradients of Nonconvex functions . Applicable Analysi , 47 ( 21 ) : 151 – 172 .
  • Naniewicz , Z. 1994 . Hemivariational Inequality Approach to Constraind problems for Star-Shaped Admissible Sets . Journal of Optimzation Theory and Applcations , 8 ( 1 ) July
  • Haslinger , J. and Panagiotopoulos , P. D. 1989 . “ Optimal Control by Hemivariational Inequalities, IN Control of Boundries and Stabilization ” . In Lecture Notes in Control and Information Sciences , Edited by: Simon , J. 128 – 139 . New York : springer Verlag .
  • Chang , K. C. 1981 . Variational Methods for Non-Differentiable Functionals and their Applications to Partial Differential Equations . Journal of Mathematical Analysis and Applications , 80 : 129
  • Rauch , J. 1977 . Discontinuous Semilinear Differential Equations and Multiple Valued Maps . Proceedings of American the Mathematical Society , 64 : 277 – 282 .
  • Mc Kenna , P. J. and Rauch , J. 1978 . Strongly Nonlinear Preturbations of Nonnegative Boundary Value Problems with Kernal . Journal of Differentual Equations , 28 : 253 – 265 .
  • Stuart , C. A. and Toland , J. F. 1980 . A Variational Method for Boundary Value Probles with Discontinuous Nonlinearities . Journal of the London Mathematicla Sociery , 21 : 319 – 328 .
  • Motreanu , D. and Panagiotopoulos , P. d. 1992 . “ Hystersis: the Eigenvalue Problem for Hemivarational Inequalities ” . In Proceedings of Trento Meeting on Hysteresis , Longman Scientific Publication in Press .
  • Browder , F.E. 1971 . “ Existence Theory for BOundary Value Problems for Quasilinear Elliptic Systems with Strongly Nonlinear Lower Order Terms ” . In {roceedings Symposia in Pure Mathematics , Vol. 23 , 269 – 286 . Providence, R. I. : Mathematical Society .
  • Webb , J. R. L. 1980 . Boundary Valur Problems for Strongly Nonlinear Elliptic Equations . The JOurnal of the London Mathematical Society , 21 : 123 – 132 .
  • Brézis , H. and Browder , F. E. 1982 . Some Properties of Higher Order Sobolev Spaces . Journal de Mathématiques Pures et Applications , 61 : 245 – 259 .
  • Boccardo , L. , Giachetti , D. and Murat , F. 1990 . A Generalization of a Theorem of H. Brézis, & F. E. Browder and Applications to Some Unilateral Porblems . Annals de l'Institut Henri Poincré Analyse non linéare , 7 : 367 – 384 .
  • Duvaut , G. and Lions , J. L. 1976 . Inequalities in Mechantcs and Physics , New York : Springer-Verlag .
  • Ekeland , I. 1976 . Convex Analysis and Variational Problems , North-Holland, , Holland : Amsterdam .

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