Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 6
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Original Articles

Existence results for hemivariational inequalities with measures

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Pages 735-753 | Received 05 Mar 2007, Accepted 09 Mar 2007, Published online: 27 Jun 2007

References

  • Boccardo , L and Gallou , T . 1989 . Nonlinear elliptic and parabolic equations involving measure data. . Journal of Functional Analysis , 87 : 149 – 169 .
  • Boccardo , L and Gallou , T . 1992 . Nonlinear elliptic equations with right-hand side measures. . Communications in PDE , 17 ( 3&4 ) : 641 – 655 .
  • Carl , S . 2001 . Existence of extremal solutions of boundary hemivariational inequalities. . Journal of Differential Equations , 171 : 370 – 396 .
  • Carl , S and Heikkilä , S . 2000 . Nonlinear Differential Equations in Ordered Spaces , Boca Raton, FL : Chapman & Hall/CRC .
  • Carl , S and Le , VK . 2004 . Enclosure results for quasilinear systems of variational inequalities. . Journal of Differential Equations , 199 : 77 – 95 .
  • Carl , S , Le , VK and Motreanu , D . 2004 . The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. . Differential Integral Equations , 17 : 165 – 178 .
  • Carl , S , Le , VK and Motreanu , D . 2004 . Existence and comparison results for quasilinear evolution hemivariational inequalities. . Electron Journal of Differential Equations , 2004 : 1 – 17 .
  • Carl , S , Le , VK and Motreanu , D . 2005 . Existence and comparison principles for general quasilinear variational-hemivariational inequalities. . Journal of Mathematical Analysis and Applications , 302 : 65 – 83 .
  • Carl , S and Motreanu , D . 2003 . Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. . Journal of Mathematical Analysis and Applications , 286 : 147 – 159 .
  • Clarke , FH . 1990 . Optimization and Nonsmooth Analysis Philadelphia:, SIAM
  • Del Vecchio , T . 1995 . Nonlinear elliptic equations with measure data. . Potential Analysis , 4 : 185 – 203 .
  • Liang , J and Rodrigues , JF . 1996 . Quasilinear elliptic problems with nonmonotone discontinuous and measure data. . Portugaliae Mathematica , 53 : 239 – 252 .
  • Naniewicz , Z and Panagiotopoulos , PD . 1995 . Mathematical Theory of Hemivariational Inequalities and Applications , New York: : Marcel Dekker .
  • Prignet , A . 1997 . Conditions aux limites non homogenes pour des problemes elliptiques avec second membre mesure. . Annales de la Faculté des Sciences de Toulouse Mathématiques , 6 : 297 – 318 .
  • Rauch , J . 1977 . Discontinuous semilinear differential equations and multiple valued maps. . Proceedings of American Mathematical Society , 64 : 277 – 282 .

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