Results 1 to 10 of about 328 (51)
Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems [PDF]
Communications in Contemporary Mathematics, 2021 We study the existence and asymptotic behavior of solutions having positive and sign-changing components to the singularly perturbed system of elliptic equations in a bounded domain Ω in R N , with N ≥ 4, ε > 0, µ i > 0, λ ij = λ ji < 0, α ij , β ij > 1,
M. Clapp, M. Soares
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A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian [PDF]
Rendiconti Lincei - Matematica e Applicazioni, 2021 A stability result in terms of the perimeter is obtained for the first Dirichlet eigenvalue of the Laplacian operator. In particular, we prove that, once we fix the dimension n ě 2, there exists a constant c ą 0, depending only on n, such that, for every
Gloria Paoli
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Nonnegative Solutions of a Nonlinear System and Applications to Elliptic BVPs*
Journal of Applied Mathematics and Bioinformatics, 2021 In this communication, we study the existence of nonnegative solutions of a nonlinear system in Banach spaces. These maps involved in the system defined on cone do not necessarily take values in the cone.
Guangchong Yang, Yanqiu Chen
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Advances in Nonlinear Analysis, 2023 In this article, we formulate and perform a strict analysis of a reaction–diffusion mosquito-borne disease model with total human populations stabilizing at H(x) in a spatially heterogeneous environment.
Wang Jinliang, Wu Wenjing, Li Chunyang
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On the Asymptotic Behavior of D-Solutions to the Displacement Problem of Linear Elastostatics in Exterior Domains [PDF]
, 2020 We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz ...
Coscia, Vincenzo
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Symmetric results of a Hénon-type elliptic system with coupled linear part
Open Mathematics, 2022 In this article, we study the elliptic system: −Δu+μ1u=∣x∣αu3+λv,x∈Ω−Δv+μ2v=∣x∣αv3+λu,x∈Ωu,v>0,x∈Ω,u=v=0,x∈∂Ω,\left\{\begin{array}{ll}-\Delta u+{\mu }_{1}u=| x\hspace{-0.25em}{| }^{\alpha }{u}^{3}+\lambda v,& x\in \Omega \\ -\Delta v+{\mu }_{2}v=| x ...
Lou Zhenluo, Li Huimin, Zhang Ping
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Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis
Advanced Nonlinear Studies, 2023 This article is concerned with the stationary problem for a prey-predator model with prey-taxis/predator-taxis under homogeneous Dirichlet boundary conditions, where the interaction is governed by a Beddington-DeAngelis functional response.
Li Shanbing, Wu Jianhua
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Nonautonomous Dynamical Systems, 2020 The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}
Ahmed Ahmed +1 more
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EXISTENCE OF MULTIPLE POSITIVE RADIAL SOLUTIONS TO ELLIPTIC EQUATIONS IN AN ANNULUS
Communications in Applied Analysis, 2018 In this paper, we use Leggett-Williams multiple fixed point theorems to obtain sufficient conditions for the existence of at least one or two positive radial solutions of the equation −∆u = λg(|x|)f(u), R1 < |x| < R2, x ∈ RN , N ≥ 2 subject to a linear ...
Jaffar Ali, S. Padhi
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Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group
Journal of Partial Differential Equations, 2019 The aim of the paper is to study properties of solutions to the nonlinear fractional subLaplace equations on the Heisenberg group. Based on the method of moving planes to the Heisenberg group, we prove the Liouville property of solutions on a half space ...
Xin-Guang Yang and Shubin Wang sci
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