Results 61 to 70 of about 14,364 (164)

Localized nodal solutions for semiclassical nonlinear Kirchhoff equations

Electronic Journal of Differential Equations, 2022
Lixia Wang
doaj  

Criteria and estimates for decaying oscillatory solutions for some second-order quasilinear ODEs

Electronic Journal of Differential Equations, 2017
Oscillation criteria for the solutions of quasilinear second order ODE are revisited. In our early works [6,7], we obtained basic oscillation criteria for $$ \big\{ \phi_\alpha(u'(t))\big\}' + \alpha c(t) \phi_\beta(u(t)) =0 $$ by estimating of ...
Tadie
doaj  

Nodal method for handling irregularly deformed geometries in hexagonal lattice cores

Nuclear Engineering and Technology
The hexagonal nodal code RENUS has been enhanced to handle irregularly deformed hexagonal assemblies. The underlying RENUS methods involving triangle-based polynomial expansion nodal (T-PEN) and corner point balance (CPB) were extended in a way to use ...
Seongchan Kim, Han Gyu Joo, Hyun Chul Lee   +2 more
doaj   +1 more source

On nodal solutions of the Yamabe equation on products

Journal of Geometry and Physics, 2009
Usually, one looks for positive solutions of the Yamabe equation. However, solutions which change signs, called \textit{nodal}, are also important. In this case, the equation takes the form \(L_g(u)=\lambda|u|^{p-2}u\), where \(L_g\) is the Yamabe operator associated to the Riemannian metric \(g\).
openaire   +1 more source

The beam finite element with five nodal degrees of freedom

Magazine of Civil Engineering
The article presents comparative calculations of reinforced concrete beams using two types of beam finite elements: with three and five nodal degrees of freedom. Calculations were performed both taking into account the concrete and reinforcement physical
Tyukalov Yury
doaj   +1 more source

Nodal solutions for Schrodinger-Poisson type equations in R^3

Electronic Journal of Differential Equations, 2016
In this article, we consider the existence of nodal solutions for the Schrodinger-Poisson type problem \begin{gather*} -\Big(a+b\int_{\mathbb{R}^3}|\nabla u|^2\,dx\Big)\Delta u+V(|x|)u+\varphi u =|u|^{p-2}u,\quad\text{in }\mathbb{R}^3, \\ -\Delta ...
Jin Deng, Jianfu Yang
doaj  

The Nodal Sets of Solutions to Parabolic Equations

In this paper, we study the parabolic equations $\partial_t u=\partial_j\left(a^{ij}(x,t)\partial_iu\right)+b^j(x,t)\partial_ju+c(x,t)u$ in a domain of $\mathbb{R}^n$ under the condition that $a^{ij}$ are Lipschitz continuous. Consider the nodal set $Z_t=\{x: u(x,t)=0\}$ at a time $t$-slice. Simple examples show that the singular set $\mathcal{S}_t=\{x:
Huang, Yiqi, Jiang, Wenshuai
openaire   +2 more sources

Oddness of least energy nodal solutions on radial domains

Electronic Journal of Differential Equations, 2010
In this article, we consider the Lane-Emden problem $$displaylines{ Delta u(x) + |{u(x)}mathclose|^{p-2}u(x)=0, quad hbox{for } xinOmega,cr u(x)=0, quad hbox{for } xinpartialOmega, }$$ where $2 < p < 2^{*}$ and $Omega$ is a ball or an annulus
Christopher Grumiau, Christophe Troestler   +1 more
doaj  

Spectrum, global bifurcation and nodal solutions to Kirchhoff-type equations

Electronic Journal of Differential Equations, 2018
In this article, we consider a Dancer-type unilateral global bifurcation for the Kirchhoff-type problem $$\displaylines{ -\Big(a+b\int_0^1 | u'|^2\,dx\Big)u'' =\lambda u+h(x,u,\lambda)\quad\text{in } (0,1),\cr u(0)=u(1)=0.
Xiaofei Cao, Guowei Dai
doaj  

Dataset of integrated seismic and geodetic strain rates in the Kopeh Dagh Belt (NE Iran): Earthquake focal mechanisms (1969-2024) and GNSS-derived deformation parameters. [PDF]

Data Brief
Rashidi A, Shafieibafti S, Nemati M, Derakhshani R.   +3 more
europepmc   +1 more source