Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 530-539.

• Articles • Previous Articles     Next Articles

Nonsmooth Version of Dual Fountain Theorem and Its Application to a Differential Inclusion Problem

 DAI Guo-Wei, WANG Wen-Ting, FENG Li-Li   

  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070
  • Received:2010-11-26 Revised:2012-02-24 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    国家自然科学基金 (10971087) 和西北师范大学青年基金(NWNU-LKQN-10-21)资助

Abstract:

In this paper we establish a nonsmooth version of dual Fountain theorem by adopting the framework of nonsmooth analysis theory, which is a generalization of Theorem 3.18 of [16]. Then we present an application of this Theorem to a Dirichlet-type differential inclusion problem involving concave and convex nonlinearities.

Key words: Non-smooth analysis, Dual Fountain theorem, Differential inclusion problem, Concave and convex nonlinearities

CLC Number: 

  • 35J20
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