Results 11 to 20 of about 14,364 (164)
On sign-changing solutions for (p,q)-Laplace equations with two parameters
Advances in Nonlinear Analysis, 2016 We investigate the existence of nodal (sign-changing) solutions to the Dirichlet problem for a two-parametric family of partially homogeneous (p,q){(p,q)}-Laplace equations -Δpu-Δqu=α|u|p-2u+β|u|q-2u{-\Delta_{p}u-\Delta_{q}u=\alpha\lvert u\rvert^{p-
Bobkov Vladimir, Tanaka Mieko
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Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]
Opuscula Mathematica, 2018 We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the
Qingkai Kong, Thomas E. St. George
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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
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Advances in Nonlinear Analysis, 2023 In this article, we study the following Kirchhoff equation: (0.1)−(a+b‖∇u‖L2(R3)2)Δu+V(∣x∣)u=f(u)inR3,-(a+b\Vert \nabla u{\Vert }_{{L}^{2}\left({{\mathbb{R}}}^{3})}^{2})\Delta u+V\left(| x| )u=f\left(u)\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em ...
Wang Tao, Yang Yanling, Guo Hui
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Multiple nodal solutions of the Kirchhoff-type problem with a cubic term
Advances in Nonlinear Analysis, 2022 In this article, we are interested in the following Kirchhoff-type problem (0.1)−a+b∫RN∣∇u∣2dxΔu+V(∣x∣)u=∣u∣2uinRN,u∈H1(RN),\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{N}}| \nabla u\hspace{-0.25em}{| }^{2}{\rm{d}}
Wang Tao, Yang Yanling, Guo Hui
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Nodal Stabilization of the Flow in a Network with a Cycle
Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper we discuss an approach to the stability analysis for classical solutions of closed loop systems that is based upon the tracing of the evolution of the Riemann invariants along the characteristics.
Martin Gugat, Sven Weiland
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Nodal Solutions of a Perturbed Elliptic Problem
, 2008 Multiple nodal solutions are obtained for the elliptic problem -Δu = f(x, u) + εg (x, u) in Ω, u =0 on ∂Ω , where ε is a parameter, Ω is a smooth bounded domain in R^{N}, f ϵ C(overline{Ω} x R)$, g ϵ C(overline{Ω} x R). For a superlinear C^{1} function f which is odd in u and for any C^{1} function g, we prove that for any j ϵ N there exists ε _{j} > 0
Li, Yi, Liu, Z., Zhao, C.
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Nodal solutions for the Choquard equation
Journal of Functional Analysis, 2016 We consider the general Choquard equations $$ -Δu + u = (I_α\ast |u|^p) |u|^{p - 2} u $$ where $I_α$ is a Riesz potential. We construct minimal action odd solutions for $p \in (\frac{N + α}{N}, \frac{N + α}{N - 2})$ and minimal action nodal solutions for $p \in (2,\frac{N + α}{N - 2})$.
GHIMENTI, MARCO GIPO +1 more
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Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we consider the quasilinear Schrödinger system in $\mathbb R^{N}$ ($N\geq3$): \begin{equation*} \begin{cases} -\Delta u+ A(x)u-\frac{1}{2}\Delta(u^{2})u=\frac{2\alpha }{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\\ -\Delta v+ Bv-\frac{1}{2}\
Jianqing Chen, Qian Zhang
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Nodal Blow-Up Solutions to Slightly Subcritical Elliptic Problems with Hardy-Critical Term
Advanced Nonlinear Studies, 2017 The paper is concerned with the slightly subcritical elliptic problem with Hardy-critical ...
Bartsch Thomas, Guo Qianqiao
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