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Open Access Research

Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth

Ruichang Pei12* and Jihui Zhang2

Author Affiliations

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

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Boundary Value Problems 2014, 2014:162  doi:10.1186/s13661-014-0162-y

Published: 12 July 2014

Abstract

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.

Keywords:
mountain pass theorem; Adams-type inequality; subcritical polynomial growth; subcritical exponential growth