Abstract
The aim of this paper is the study of semicoercive variational hemivariational inequalities. For this study the critical point theory of Ambrosetti, Rabinowitz and Szulkin has been extended for nonsmooth functionals. Moreover, a Saddle Point Theorem and a symmetric version of the Mountain Pass Theorem have been used. After the existence proof of the nonconvex nonsmooth energy minimization problem the critical point approach is applied completing the study of the semicoercive inequality
1Alexander von Humboldt Research Fellow, Lehrstuhl fiir Mathematik, R.W.T.H. Aachen, Germany, On leave from Department of Mathematics, F.U.N.D.P., Narnur,Belgium.
2Chair of Differential Equations, Universitatea Al. I. Cuza, Iasi. Romania.
3Dept of Civil Engineering, Aristotle University, Thessaloniki, Greece. Faculty of Mathematics and Physics, RWTH, Aachen, Germany.
1Alexander von Humboldt Research Fellow, Lehrstuhl fiir Mathematik, R.W.T.H. Aachen, Germany, On leave from Department of Mathematics, F.U.N.D.P., Narnur,Belgium.
2Chair of Differential Equations, Universitatea Al. I. Cuza, Iasi. Romania.
3Dept of Civil Engineering, Aristotle University, Thessaloniki, Greece. Faculty of Mathematics and Physics, RWTH, Aachen, Germany.
Notes
1Alexander von Humboldt Research Fellow, Lehrstuhl fiir Mathematik, R.W.T.H. Aachen, Germany, On leave from Department of Mathematics, F.U.N.D.P., Narnur,Belgium.
2Chair of Differential Equations, Universitatea Al. I. Cuza, Iasi. Romania.
3Dept of Civil Engineering, Aristotle University, Thessaloniki, Greece. Faculty of Mathematics and Physics, RWTH, Aachen, Germany.