Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition

Superlinear Fourth-Order Elliptic Problem Without Ambrosetti and Rabinowitz Growth Condition

Year:    2013

Author:    Yuanhong Wei, Xiaojun Chang, Yue Lü

Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 23–31

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19025

Communications in Mathematical Research , Vol. 29 (2013), Iss. 1 : pp. 23–31

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    fourth-order elliptic problem variational method mountain pass theorem Navier boundary condition.

Author Details

Yuanhong Wei

Xiaojun Chang

Yue Lü