Multiple solutions on a p-biharmonic equation with nonlocal term

被引:0
作者
Zonghu Xiu
Jing Zhao
Jianyi Chen
Shengjun Li
机构
[1] Qingdao Agricultural University,Science and Information College
[2] Hainan University,College of Information Sciences and Technology
来源
Boundary Value Problems | / 2016卷
关键词
variational methods; nonlocal term; biharmonic equation; 35J20; 35J62; 35J92;
D O I
暂无
中图分类号
学科分类号
摘要
By variational methods we consider a p-biharmonic equation with nonlocal term on unbounded domain. We give sufficient conditions for the existence of solutions when some certain assumptions are fulfilled.
引用
收藏
相关论文
共 45 条
[1]  
Lazer AC(1990)Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis SIAM Rev. 32 537-578
[2]  
McKenna PJ(1990)Traveling waves in a suspension bridge SIAM J. Appl. Math. 50 703-715
[3]  
McKenna PJ(1997)Traveling waves in a nonlinear suspension beam: theoretical results and numerical observations J. Differ. Equ. 135 325-355
[4]  
Walter W(2012)Infinitely many solutions for fourth-order elliptic equations J. Math. Anal. Appl. 394 841-854
[5]  
Chen Y(1998)Nontrivial solutions for some fourth order semilinear elliptic problems Nonlinear Anal. 34 509-523
[6]  
McKenna PJ(2009)Oscillatory radial solutions for subcritical biharmonic equations J. Differ. Equ. 247 1479-1504
[7]  
Ye YW(2012)Multiplicity results for some fourth-order elliptic equations J. Math. Anal. Appl. 385 797-807
[8]  
Tang CL(2011)Infinitely many nontrivial solutions for a class of biharmonic equations via variant fountain theorems Nonlinear Anal. 74 7474-7485
[9]  
Micheletti AM(2014)Existence result for a class of biharmonic equations with critical growth and singular potential in Appl. Math. Lett. 29 7-12
[10]  
Pistoia A(2009)Multiple and sign-changing solutions for a class of semilinear biharmonic equation J. Differ. Equ. 246 3109-3125