Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth
1 School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, P.R. China
2 School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, P.R. China
Boundary Value Problems 2014, 2014:162 doi:10.1186/s13661-014-0162-yPublished: 12 July 2014
The main purpose of this paper is to establish the existence of two nontrivial solutions and the existence of infinitely many solutions for a class of fourth-order elliptic equations with subcritical polynomial growth and subcritical exponential growth by using a suitable version of the mountain pass theorem and the symmetric mountain pass theorem.