AN EXISTENCE THEOREM FOR A CLASS OF DIFFERENTIAL INCLUSIONS WITH A PRECISE ESTIMATE ON THE GRADIENT OF A SOLUTION

Authors

  • S. Mir Department of Mathematics, Faculty of Sciences, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran
  • M. B. Ghaemi Department of Mathematics, Faculty of Mathematics Sciences, University of Science and Technology, Tehran, Iran
  • G. A. Afrouzi Department of Mathematics, Faculty of Mathematics Sciences, University of Mazandaran, Babolsar, Iran

Keywords:

locally Lipschitz functions, differential inclusions, uniqueness, local minimum

Abstract

In this paper, by using nonsmooth version of very recently theorem of Ricceri relating to continuously functionals,  we get a new class of nonlinearities for which the Dirichlet problem has a solution, with a precise estimate on the gradient.

Additional Files

Published

09/08/2014

How to Cite

Mir, S., Ghaemi, M. B., & Afrouzi, G. A. . (2014). AN EXISTENCE THEOREM FOR A CLASS OF DIFFERENTIAL INCLUSIONS WITH A PRECISE ESTIMATE ON THE GRADIENT OF A SOLUTION. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 5(2), 53–60. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2752

Issue

Vol. 5 No. 2 (2014): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.