Results 31 to 40 of about 13,793 (165)

Nodal Accuracy Improvement Technique for Linear Elements with Application to Adaptivity

Applied Sciences, 2023
In the finite element method, the conventional linear elements have long been precluded, due to their low accuracy of nodal displacements, from the analysis of super-convergence and adaptivity via the element energy projection (EEP) technique.
Zemin Huang, Si Yuan, Qinyan Xing
doaj   +1 more source

Nodal solutions of perturbed elliptic problem

, 2008
Multiple nodal solutions are obtained for the elliptic problem $$ \begin{alignat}{2} -\Delta u&=f(x, u)+\varepsilon g(x, u)&\quad& \text{in } \Omega,\\ u&=0&\quad& \text{on } \partial \Omega , \end{alignat} $$ where $\varepsilon $ is a parameter, $\Omega $ is a smooth bounded domain in ${{\mathbb R}}^{N}$, $f\in C(\overline{\Omega }\times {{\mathbb R}})
Li, Yi, Liu, Z., Zhao, C.
openaire   +3 more sources

On Nodal Solutions of the Nonlinear Choquard Equation

Advanced Nonlinear Studies, 2019
Abstract This paper deals with the general Choquard equation -
Changfeng Gui, Hui Guo
openaire   +1 more source

Least energy nodal solutions for elliptic equations with indefinite nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We prove the existence of a nodal solution with two nodal domains for the Dirichlet problem with indefinite nonlinearity \begin{equation*} -\Delta_p u = \lambda |u|^{p-2} u + f(x) |u|^{\gamma-2} u \end{equation*} in a bounded domain $\Omega \subset ...
Vladimir Bobkov
doaj   +1 more source

非线性项在零点非渐进增长的四阶边值问题单侧全局分歧(Unilateral global bifurcation for fourth-order boundary value problem with non-asymptotic nonlinearity at 0)

Zhejiang Daxue xuebao. Lixue ban, 2016
We present a Dancer-type unilateral global bifurcation result for a class of fourth-order two-point boundary value problem x""+kx" +lx = λh(t）x+g(t, x，λ ...
SHENWenguo(沈文国)
doaj   +1 more source

Nodal solutions for the double phase problems

, 2023
We consider a parametric nonautonomous $(p, q)$-equation with unbalanced growth as follows \begin{align*} \left\{ \begin{aligned} &-Δ_p^αu(z)-Δ_q u(z)=λ\vert u(z)\vert^{τ-2}u(z)+f(z, u(z)), \quad \quad \hbox{in }Ω,\\ &u|_{\partial Ω}=0, \end{aligned} \right.
Ji, Chao, Papageorgiou, Nikolaos S.
openaire   +2 more sources

Infinitely many radial solutions of superlinear elliptic problems with dependence on the gradient terms in an annulus

Journal of Inequalities and Applications, 2023
In this paper, we are concerned with elliptic problems { − Δ u = f ( u ) + g ( | x | , u , x | x | ⋅ ∇ u ) , x ∈ Ω , u | ∂ Ω = 0 , $$ \textstyle\begin{cases} -\Delta u= f(u)+ g( \vert x \vert ,u,\frac{x}{ \vert x \vert }\cdot \nabla u),&x\in \Omega ...
Yan Zhu, Ruyun Ma, Xiaoxiao Su
doaj   +1 more source

Nodal solutions for a sublinear elliptic equation [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ounaies, Hichem, Dolbeault, Jean, Balabane, Mikhaël   +2 more
openaire   +2 more sources

Bifurcation from intervals for Sturm-Liouville problems and its applications

Electronic Journal of Differential Equations, 2014
We study the unilateral global bifurcation for the nonlinear Sturm-Liouville problem $$\displaylines{ -(pu')'+qu=\lambda au+af(x,u,u',\lambda)+g(x,u,u',\lambda)\quad x\in(0,1),\cr b_0u(0)+c_0u'(0)=0,\quad b_1u(1)+c_1u'(1)=0, }$$ where $a\in C([0, 1]
Guowei Dai, Ruyun Ma
doaj  

Nodal solutions to Paneitz-type equations

Journal of Mathematical Analysis and Applications
On a closed Riemannian manifold $(M^n ,g)$ with a proper isoparametric function $f$ we consider the equation $Δ^2 u -αΔu +βu = u^q$, where $α$ and $β$ are positive constants satisfying that $α^2 \geq 4 β$. We let ${\bf m}$ be the minimum of the dimensions of the focal varieties of $f$ and $q_f = \frac{n-{\bf m}+4}{n-{\bf m}-4}$, $q_f = \infty$ if $n ...
Julio-Batalla, Jurgen, Petean, Jimmy
openaire   +3 more sources