scholarly journals Infinitely many solutions for fourth-order elliptic equations

2012 ◽  
Vol 394 (2) ◽  
pp. 841-854 ◽  
Author(s):  
Yiwei Ye ◽  
Chun-Lei Tang
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Infinitely Many Solutions ◽  
Fourth Order Elliptic Equations

Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Fourth-Order Elliptic Equations

2017 ◽  
Vol 60 (4) ◽  
pp. 1003-1020 ◽  
Author(s):  
Hongxue Song ◽  
Caisheng Chen
Keyword(s):  
Fourth Order ◽  
Elliptic Equations ◽  
Mountain Pass Theorem ◽  
Infinitely Many Solutions ◽  
Biharmonic Operator ◽  
Kirchhoff Type ◽  
Symmetric Mountain Pass Theorem ◽  
Image Position ◽  
Fourth Order Elliptic Equations ◽  
Biharmonic Problems

AbstractThis paper deals with the class of Schrödinger–Kirchhoff-type biharmonic problemswhere Δ2 denotes the biharmonic operator, and f ∈ C(ℝN × ℝ, ℝ) satisfies the Ambrosetti–Rabinowitz-type conditions. Under appropriate assumptions on V and f, the existence of infinitely many solutions is proved by using the symmetric mountain pass theorem.

Sign in / Sign up

Export Citation Format

Share Document