TY - JOUR T1 - Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition AU - Wei , Yuanhong AU - Chang , Xiaojun AU - Lü , Yue JO - Communications in Mathematical Research VL - 1 SP - 23 EP - 31 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19025.html KW - fourth-order elliptic problem, variational method, mountain pass theorem, Navier boundary condition. AB -
This paper deals with superlinear fourth-order elliptic problem under Navier boundary condition. By using the mountain pass theorem and suitable truncation, a multiplicity result is established for all $λ > 0$ and some previous result is extended.