Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth

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• 作者：Ruichang Pei (1) (2)
  Jihui Zhang (2)
  
  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
  
• 关键词：mountain pass theorem ; Adams ; type inequality ; subcritical polynomial growth ; subcritical exponential growth
• 刊名：Boundary Value Problems
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：1,222 KB
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• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770

文摘

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.