Zobrazeno 1 - 10
of 3 461
pro vyhledávání: '"Sign changing"'
Autor:
Wei-Long Yang, Jia-Feng Liao
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 42, Pp 1-19 (2024)
We investigate the following logarithmic Kirchhoff-type equation: \begin{equation*} \left(a+b\int_{\mathbb{R}^{3}}|\nabla u|^{2}+V(x)u^{2}dx\right)[-\Delta u+V(x)u]=|u|^{p-2}u\ln |u|,\qquad x\in\mathbb{R}^{3}, \end{equation*} where $a,b>0$ are consta
Externí odkaz:
https://doaj.org/article/52644e36190b42c6822d32e6a531b016
Autor:
Ziqing Yuan, Jing Zhao
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 21337-21355 (2024)
This study focused on establishing the existence and multiplicity of solutions for gauged nonlinear Schrödinger equations set on the plane with sign-changing potentials. Our findings contribute to the extension of recent advancements in this area of
Externí odkaz:
https://doaj.org/article/959ef99873884cc6840f123368310bbc
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract In this paper, we deal with the following fractional p & q $p\&q$ -Laplacian problem: { ( − Δ ) p s u + ( − Δ ) q s u = λ a ( x ) | u | θ − 2 u + μ b ( x ) | u | r − 2 u in Ω , u ( x ) = 0 in R N ∖ Ω , $$ \left \{ \textstyle
Externí odkaz:
https://doaj.org/article/3e66a1b23baf48438f37f4a9d3494f2f
Autor:
Xue Zhou, Xiangqing Liu
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 31,, Pp 1-13 (2024)
Externí odkaz:
https://doaj.org/article/fb724dffc37f414da3027931b7565700
Autor:
Xiao Qing Huang, Jia Feng Liao
Publikováno v:
Communications in Analysis and Mechanics, Vol 16, Iss 2, Pp 307-333 (2024)
In this paper, we investigate the existence of ground state sign-changing solutions for the following fractional Schrödinger-Poisson system $ \begin{equation} \begin{cases} (-\Delta)^s u+V_{\lambda} (x)u+\mu\phi u = f(u), & \; \mathrm{in}\; \; \m
Externí odkaz:
https://doaj.org/article/f6b0cf2facbd4efeb3095943f09caa3e
Akademický článek
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Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 3, Pp 775-792 (2024)
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prim
Externí odkaz:
https://doaj.org/article/1495f8ab31724cac803038433e6a01b1
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 19,, Pp 1-37 (2024)
Externí odkaz:
https://doaj.org/article/2852296293c14c048a198f6d8b9e7443
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 8353-8370 (2024)
This paper was concerned with the following Kirchhoff type equation involving the fractional Laplace operator $ (-\Delta)^{s} $ $ \begin{cases} \left(1+\alpha\int_{\mathbb{R}^{3}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right)(-\Delta)^{s} u+\mu K(x)u = g
Externí odkaz:
https://doaj.org/article/f7cfa6095a344995a308d9efaae4e975