Article citationsMore>>

Hangelbroek, T. and Lauve, A. (2014) The Polyharmonic Dirichlet Problem and Path Counting. Journal de Mathématiques Pures et Appliquées, 102, 449-381.
https://doi.org/10.1016/j.matpur.2013.12.001

has been cited by the following article:

• TITLE: Existence of Solutions to a Class of Navier Boundary Value Problem Involving the Polyharmonic

  AUTHORS: Yongyi Lan

  KEYWORDS: Navier Boundary Value Problem, Polyharmonic, Variational Methods, Mountain Pass Theorem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.4, April 17, 2018

  ABSTRACT: This paper is devoted to the following high order elliptic problems under the Navier boundary condition: Without assuming the standard subcritical polynomial growth condition ensuring the compactness of a bounded (P.S.) sequence, we show that the Navier boundary value problem has at least a weak nontrivial solution for all λ>0by using mountain pass theorem.