Multi-bump solutions for a Kirchhoff-type problem
In this paper, we study the existence of solutions for the Kirchhoff problem M(∫ℝ3|∇u|2dx+∫ℝ3(λa(x)+1)u2dx)(-Δu+(λa(x)+1)u)=f(u)$M\Biggl (\int _{\mathbb {R}^{3}}|\nabla u|^{2}\, dx + \int _{\mathbb {R}^{3}} (\lambda a(x)+1)u^{2}\, dx\Biggl ) (- \Delta u + (\lambda a(x)+1)u) = f(u)$ in ℝ3, u ∈ H1(ℝ3)...
Main Authors: | Alves Claudianor O., Figueiredo Giovany M. |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2016-02-01
|
Series: | Advances in Nonlinear Analysis |
Subjects: | |
Online Access: | https://doi.org/10.1515/anona-2015-0101 |
Similar Items
-
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
by: Long Yuhua
Published: (2022-04-01) -
Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth
by: Xu Li-Ping, et al.
Published: (2018-11-01) -
On double phase Kirchhoff problems with singular nonlinearity
by: Arora Rakesh, et al.
Published: (2023-06-01) -
Multiple Positive Solutions to a Kirchhoff Type Problem Involving a Critical Nonlinearity in ℝ3
by: Zhong Xiao-Jing, et al.
Published: (2017-10-01) -
Normalized solutions of Kirchhoff equations with Hartree-type nonlinearity
by: Yuan Shuai, et al.
Published: (2023-01-01)