Zobrazeno 1 - 10
of 529
pro vyhledávání: '"nontrivial solution"'
Autor:
Pang Yan, Zhang Xingyong
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 1200-1226 (2024)
We deal with the existence of three distinct solutions for a poly-Laplacian system with a parameter on finite graphs and a (p,q)\left(p,q)-Laplacian system with a parameter on locally finite graphs. The main tool is an abstract critical point theorem
Externí odkaz:
https://doaj.org/article/390726ca9c404b138159d5ed36ccb78c
Autor:
Qianhong Zhang, Liqin Shen
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28256-28272 (2024)
In this article, global asymptotic stability and trajectory structure of the following high-order nonlinear difference equation $ z_{n+1} = \frac{z_{n-1}z_{n-2}z_{n-4}+z_{n-1}+z_{n-2}+z_{n-4}+b}{z_{n-1}z_{n-2}+z_{n-1}z_{n-4}+z_{n-2}z_{n-4}+1+b}, \
Externí odkaz:
https://doaj.org/article/afcc65804dd64b7b8da3108961e8ecda
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 4135-4160 (2024)
>In this article, we study a class of fractional Kirchhoff with a superlinear nonlinearity: $ \begin{equation} \begin{cases} M(\int_{\mathbb{R}^{N}}|(-\triangle)^{\frac{\alpha}{2}}u|^{2}dx)(-\triangle)^{\alpha}u+\lambda V(x)u = f(x, u)\; \; \mbox{
Externí odkaz:
https://doaj.org/article/da34a32f587c473390785ac621fa1044
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 48, Pp 1-15 (2023)
In this paper, we study the following quasilinear Schrödinger–Poisson system in $\mathbb{R}^3$ \begin{equation*} \begin{cases} -\Delta u+V(x)u+\lambda \phi u=f(x,u),&x\in{\mathbb{R}^3},\\ -\Delta \phi-\varepsilon^4\Delta_4\phi=\lambda u^2,&x\in{\m
Externí odkaz:
https://doaj.org/article/a3d800ce05e84bfbb34a9183210b09cc
Autor:
Lixiang Cai, Qing Miao
Publikováno v:
Axioms, Vol 13, Iss 8, p 548 (2024)
In this paper, we mainly study the p-Kirchhoff type equations with logarithmic nonlinear terms and critical growth: −M∫Ω∇updxΔpu=up∗−2u+λup−2u−up−2ulnu2 x∈Ω, u=0 x∈∂Ω, where Ω⊂ℝN is a bounded domain with a smooth bound
Externí odkaz:
https://doaj.org/article/7c5d673efd8c4d17881658cfeb7b8256
Autor:
Yang Yu, Yulin Zhao
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 26, Pp 1-11 (2023)
In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland's variational princip
Externí odkaz:
https://doaj.org/article/b9db6b6ec8294005b44514806cbd899f
Autor:
Dengfeng Lu, Shuwei Dai
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 17142-17153 (2023)
In this paper, a class of systems of three-component coupled nonlinear fractional Schrödinger equations with general nonlinearities is investigated. Without any monotonicity condition and the Ambrosetti-Rabinowitz growth condition, we obtain some no
Externí odkaz:
https://doaj.org/article/77883727e10f42c3bf6afaaf2ce01dc7
Publikováno v:
Arab Journal of Mathematical Sciences, 2021, Vol. 29, Issue 1, pp. 73-82.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-02-2021-0050