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.