Results 31 to 40 of about 14,364 (164)
Open Mathematics, 2015 In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations.
Baskonus Haci Mehmet, Bulut Hasan
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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
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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
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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.
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Nodal line structure of least energy nodal solutions for Lane–Emden problems
Comptes Rendus. Mathématique, 2009 In this Note, we consider the Lane–Emden problem − Δ u = λ 2
Grumiau, Christopher +1 more
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Multiplicity of nodal solutions to the Yamabe problem [PDF]
Calculus of Variations and Partial Differential Equations, 2017 Given a compact Riemannian manifold $(M,g)$ without boundary of dimension $m\geq 3$ and under some symmetry assumptions, we establish existence of one positive and multiple nodal solutions to the Yamabe-type equation $$-div_{g}(a\nabla u)+bu=c|u|^{2^{\ast}-2}u\quad on\ M$$ where $a,b,c\in C^{\infty}(M)$, $a$ and $c$ are positive, $-div_{g}(a\nabla)+b ...
Clapp, Mónica, Fernández, Juan Carlos
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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)
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Multi-bump type nodal solutions having a prescribed number of nodal domains: II
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2005 This paper is a sequel to [Liu and Wang, preprint] in which we studied nodal property of multi-bump type sign-changing solutions constructed by Coti Zelati and Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. In this paper we remove a technical condition that the nonlinearity is odd, which was used in [Comm. Pure Appl. Math.
Liu, Zhaoli, Wang, Zhi-Qiang
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Multiplicity of positive and nodal solutions for scalar field equations
Journal of Differential Equations, 2014 The authors are concerned with the scalar field equation \(-\Delta u+a(x) u=|u|^{p-2}u\) in \({\mathbb R}^N\), where \(N\geq 2 ...
Giovanna Cerami +2 more
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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
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