Arab Journal of Mathematical Sciences (Jan 2014)

Infinitely many solutions for systems of n fourth order partial differential equations coupled with Navier boundary conditions

  • Shapour Heidarkhani

DOI
https://doi.org/10.1016/j.ajmsc.2013.04.003
Journal volume & issue
Vol. 20, no. 1
pp. 77 – 100

Abstract

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In this paper, the existence of infinitely many solutions for a class of systems of n fourth order partial differential equations coupled with Navier boundary conditions is established. The approach is fully based on Ricceri’s Variational Principle [B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000) 401–410].

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