Publication Cover
Applicable Analysis
An International Journal
Volume 65, 1997 - Issue 3-4
11
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Multiple solutions for a class of eigenvalue problems involving a nonlinear monotone operator in hemivariational inequalities

Pages 395-407 | Received 01 Apr 1997, Published online: 02 May 2007

  • Chang , K.C. 1981 . Variational Methods for Non-differentiable Functionals and Their Applications to Partial Differential Equations . J. Math. Anal. Appl , 80 : 102 – 129 .
  • Clarke , F.H. 1983 . Optimization and Nonsmooth Analysis . Willey, New York ,
  • Fichera , G. 1964 . Problemi elastostatici con vincoli unilaterali: il Problema di Signorini con ambigue condizioni al contorno . Mem. Accad. Naz. Lincei , 7 : 91 – 140 .
  • Goelevan D. Motreanu D. Panagiotopoulos P.D. Multiple Solutions for a Class of Eigenvalue Problems in Hemivariational Inequalities To appear in Nonlinear Anal., T.M.A
  • Lions , J.L. and Stampacchia , G. 1967 . Variational Inequalities . Comm. Pure Appl. Math , 20 : 493 – 519 .
  • Moreau , J.J. 1968 . La notion de sur-potential et les liaisons unilatérales en élstostatique . C.R. Acad. Sci. Paris , 267 : 954 – 957 .
  • Motreanu , D. and Panagiotopoulos , P.D. 1995 . An Eigenvalue Problem for a Hemivariational Inequality Involving a NOnlinear Compact Operator . Set-Valued Anal , 3 : 157 – 166 .
  • Motreanu , D. and Panagiotopoulos , P.D. 1993 . “ The Eigenvalue Hemivariational Inequalities, ” . In in Models of Hysteresis , Harlow : Longman Scientific and Technical .
  • Motreanu , D. and Panagiotopoulos , P.D. 1996 . Hysteresis: The Eigenvalue Hemivariational Inequalities: . J. Math. Anal. Appl , 197 : 75 – 89 . Existence and Multiplicity of Solutions
  • Naniewicz , Z. and Panagiotopoulos , P.D. “ Mathematical Theory of Hemivariational Inequalities and Applications ” . Marcel Dekker .
  • Panagiotopoulos , P.D. 1981 . Nonconvex Superpotentials in the Sense of F.H. Clarke and Applications . Mech. Res. Comm , 8 : 335 – 340 .
  • Panagiotopoulos , P.D. 1983 . Nonconvex Energy Functions. Hemivariational Inequalities and Substationarity Principles . Acta Mechanica , 42 : 160 – 183 .
  • Panagiotopoulos , P.D. “ Inequality Problems in Mechanics and Applications. Convex and Nonconvex Energy Functionals ” . In Birkhëuser-Verlag, Boston, Basel (Russian Translation MIR Publ., Moscow, 1989)
  • Panagiotopoulos , P.D. 1993 . “ Hemivariational Inequalities: ” . In Applications to Mechanics and Engineering , New York, Boston, Berlin : Springer-Verlag .
  • Panagiotopoulos , P.D. “ Hemivariational Inequalities and their applications, in Topics in Nonsmooth Mechanics ” . In Birkhëuser-Verlag, Basel Edited by: Moreau , J.J. , Panagiotopoulos , P.D. and Strang , G.
  • Panagiotopoulos , P.D. 1988 . “ Nonconvex Superpotentials and Hemivariational Inequalities ” . In Quasidiferentiability in Mechanics, in Nonsmooth Mechanics and Applications , Edited by: Moreau , J.J. , Panagiotopoulos , P.D. and Strang , G. /New-York : CISM Courses and Lectures,Springer-Verlag, Wien .
  • Panagiotopoulos , P.D. and Panagiotopoulos , P.D. 1985 . Nonconvex Problem of Semipermeable Media and Related Topics . Z.Angew. Math. Mech , 65 : 29 – 36 .
  • Panagiotopoulos , P.D. 1989 . Semicoercive Hemivariational Inequalities. On the Delamination of Composite Plates . Quart. Appl. Math , 47 : 611 – 629 .
  • Yao , J.C. 1991 . Applications of Variational Inequalities to Nonlinear Analysis . Appl. Math. Lett , 4 ( 4 ) : 89 – 92 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.