Ground State Solution for a Fourth Order Elliptic Equation of Kirchhoff Type with Critical Growth in ℝN
In this paper, we consider the following fourth order elliptic Kirchhoff-type equation involving the critical growth of the form Δ2u−a+b∫ℝN∇u2dxΔu+Vxu=Iα∗Fufu+λu2∗∗−2u,in ℝN,u∈H2ℝN, where a>0, b≥0, λ is a positive parameter, α∈N−2,N, 5≤N≤8, V:ℝN⟶ℝ is a potential function, and Iα is a Riesz potent...
Saved in:
Main Authors: | Li Zhou, Chuanxi Zhu |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2022-01-01
|
Series: | Advances in Mathematical Physics |
Online Access: | http://dx.doi.org/10.1155/2022/5820136 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on RN
by: Yu Duan, et al.
Published: (2016-01-01) -
Multiplicity of Positive Solutions for a Second-Order Elliptic System of Kirchhoff Type
by: S. Khademloo, et al.
Published: (2014-01-01) -
Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities
by: Miaomiao Yang, et al.
Published: (2014-01-01) -
On quasilinear elliptic equations in ℝN
by: C. O. Alves, et al.
Published: (1996-01-01) -
N-Laplacian equations in ℝN with critical growth
by: João Marcos B. do Ó
Published: (1997-01-01)