Zobrazeno 1 - 10
of 33
pro vyhledávání: '"HONGWANG YU"'
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-14 (2021)
Abstract This paper is concerned with the Liouville type theorem for stable weak solutions to the following weighted Kirchhoff equations: − M ( ∫ R N ξ ( z ) | ∇ G u | 2 d z ) div G ( ξ ( z ) ∇ G u ) = η ( z ) | u | p − 1 u , z = ( x , y
Externí odkaz:
https://doaj.org/article/039a130994074dd993a8ecbf359cd4dc
Publikováno v:
AIMS Mathematics, Vol 6, Iss 3, Pp 2623-2635 (2021)
In this article, we study the weighted Lane-Emden equationwhere $ N = N_{1}+N_{2}\geq2, $ $ p\geq2 $ and $ q > p-1 $, while $ \omega_{i}(z)\in L^{1}_{\rm loc}(\mathbb{R}^{N})\setminus\{0\}(i = 1, 2) $ are nonnegative functions satisfying $ \omega_{1}
Externí odkaz:
https://doaj.org/article/a7d31a41adfc46c2af75bdee9d07d91d
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 41, Pp 1-20 (2020)
In this paper, we study the following quasilinear Schrödinger equation of the form \begin{equation*} -\Delta_{p}u+V(x)|u|^{p-2}u-\left[\Delta_{p}(1+u^{2})^{\alpha/2}\right]\frac{\alpha u}{2(1+u^{2})^{(2-\alpha)/2}}=k(u),\qquad x\in \mathbb{R}^{N}, \
Externí odkaz:
https://doaj.org/article/4040a638b19b407bbfe54f335872eb03
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:9987-9997
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-14 (2021)
This paper is concerned with the Liouville type theorem for stable weak solutions to the following weighted Kirchhoff equations: $$\begin{aligned}& -M \biggl( \int_{\mathbb{R}^{N}}\xi(z) \vert \nabla_{G}u \vert ^{2}\,dz \biggr){ \operatorname{div}}_{
Publikováno v:
Journal of Mathematical Inequalities; Jun2023, Vol. 17 Issue 2, p817-830, 14p
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 41, Pp 1-20 (2020)
In this paper, we study the following quasilinear Schrödinger equation of the form \begin{equation*} -\Delta_{p}u+V(x)|u|^{p-2}u-\left[\Delta_{p}(1+u^{2})^{\alpha/2}\right]\frac{\alpha u}{2(1+u^{2})^{(2-\alpha)/2}}=k(u),\qquad x\in \mathbb{R}^{N}, \
Publikováno v:
AIMS Mathematics, Vol 6, Iss 3, Pp 2623-2635 (2021)
In this article, we study the weighted Lane-Emden equation \begin{document}$ \begin{equation*} {\rm div}_{G}\big(\omega_{1}(z)|\nabla_{G}u|^{p-2}\nabla_{G}u\big) = \omega_{2}(z)|u|^{q-1}u, \ z = (x, y)\in \mathbb{R}^{N} = \mathbb{R}^{N_{1}}\times\mat
Publikováno v:
Applied Mathematics Letters. 121:107470
This paper aims to investigate the class of generalized quasilinear Schrodinger equations which have appeared from plasma physics, as well as high-power ultrashort laser in matter. With the help of dual approach and test function technique, we show t
Autor:
Hongwang Yu
Publikováno v:
International Journal of Communications, Network and System Sciences. :29-37
This paper discusses consensus control for a kind of dynamical agents in network. It is assumed that the agents distributed on a plane and their location coordinates are measured by remote sensor and transmitted to its neighbors. By designing the lin