Multiplicity of Solutions for Nonlocal Elliptic System of (p,q)-Kirchhoff Type
This paper is concerned with the following nonlocal elliptic system of (p,q)-Kirchhoff type −[M1(∫Ω|∇u|p)]p−1Δpu=λFu(x,u,v), in Ω, −[M2(∫Ω|∇v|q)]q−1Δqv=λFv(x,u,v), in Ω, u=v=0, on ∂Ω.
Bitao Cheng, Xian Wu, Jun Liu
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Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes [PDF]
S. Dipierro, E. Valdinoci
semanticscholar +1 more source
FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions
A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition.
Allaberen Ashyralyev +1 more
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Blowup for Nonlocal Nonlinear Diffusion Equations with Dirichlet Condition and a Source [PDF]
Guosheng Zhang, Yifu Wang
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On Nonlinear Parabolic Equations with Nonlocal Boundary Condition
Let \(\emptyset \neq \Omega \subset \mathbb{R}^ n\) be a bounded domain with \(C^ 2\)-boundary and \(T > 0\). Of concern is the semilinear second order initial-boundary value problem \[ \begin{alignedat}{2} \partial_ tu(t,x) - A(t)u(t,x) & = f \bigl( t,x,u(t,x) \bigr), &\qquad (t,x) &\in (0,T) \times \Omega, \\ u(t,x) & = \int_ \Omega \Phi (x,y) u(t,y)
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We study the existence of at least one monotonic positive solution for the nonlocal boundary value problem of the second-order functional differential equation x′′(t)=f(t,x(ϕ(t))), t∈(0,1), with the nonlocal condition ∑k=1makx(τk)=x0, x′(0)+∑j=1nbjx′(ηj)=
A. M. A. El-Sayed +2 more
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On existence results for a nonlinear differential equationinvolving Caputo-Katugampola fractional derivative witha nonlocal initial condition [PDF]
openalex +1 more source
Numerical solution of hyperbolic-Schrodinger equations with nonlocal boundary condition [PDF]
Yıldırım Özdemir, Mehmet Kucukunal
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Blow-up problem for nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition [PDF]
Alexander Gladkov
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Effects of topological boundary conditions on Bell nonlocality
Bell nonlocality is the resource that enables device-independent quantum information processing tasks. It is revealed through the violation of so-called Bell inequalities, indicating that the observed correlations cannot be reproduced by any local hidden variable model.
Emonts, Patrick +3 more
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