TY - JOUR
T1 - A Multiplicity Result for Some Integro-differential Biharmonic Equation in R<sup>4</sup>
AU - Aouaoui , Sami
JO - Journal of Partial Differential Equations
VL - 2
SP - 102
EP - 115
PY - 2016
DA - 2016/07
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n2.2
UR - https://global-sci.org/intro/article_detail/jpde/5082.html
KW - Integro-differential
KW - exponential growth
KW - iterative scheme
KW - multiplicity
KW - radial solution
KW - nonradial solution
KW - Adams inequality
KW - principle of symmetric criticality
AB -  In this paper, we prove the existence of at least three nontrivial solutions for some biharmonic elliptic equation involving an integral term. The nonlinear term exhibits an exponential growth at infinity. Our method consists of a combination between variational tools and iterative technique.