Results 1 to 10 of about 377 (53)
Some remarks on segregation of $k$ species in strongly competing systems [PDF]
Interfaces and free boundaries (Print), 2021 Spatial segregation occurs in population dynamics when k species interact in a highly competitive way. As a model for the study of this phenomenon, we consider the competitiondiffusion system of k differential equations −∆ui(x) = −μui(x) ∑ j 6=i uj(x) i =
F. Lanzara, Eugenio Montefusco
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Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities
Advances in Nonlinear Analysis, 2022 In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
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Positive solution for a class of coupled (p,q)-Laplacian nonlinear systems
Boundary Value Problems, 2014 In this article, we prove the existence of a nontrivial positive solution for the elliptic system {−Δpu=ω(x)f(v)in Ω,−Δqv=ρ(x)g(u)in Ω,(u,v)=(0,0)on ∂Ω, where Δp denotes the p-Laplacian operator, p,q>1 and Ω is a smooth bounded domain in RN (N≥2).
E. M. Martins, W. Ferreira
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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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A generalization of the Hopf-Cole transformation for stationary Mean Field Games systems [PDF]
, 2015 In this note we propose a transformation which decouples stationary Mean Field Games systems with superlinear Hamiltonians of the form |p|^r, and turns the Hamilton-Jacobi-Bellman equation into a quasi-linear equation involving the r-Laplace operator ...
Cirant, Marco
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Singular quasilinear convective elliptic systems in ℝN
Advances in Nonlinear Analysis, 2022 The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto +2 more
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
Advanced Nonlinear Studies, 2020 We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano +2 more
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Analytical validation of the finite element method model for Laplace equation
Journal of Applied Mathematics and Computational Mechanics, 2019 The presented paper is focused on the comparison of the numerical solution of the Laplace equation in a two-dimensional space with the results obtained with the use of the analytical method.
E. Wegrzyn-Skrzypczak, T. Skrzypczak
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Asymptotic analysis for some linear eigenvalue problems via Gamma-Convergence
Advances in Differential Equations, 2010 This paper is devoted to the analysis of the asymptotic behaviour when the parameter λ goes to +∞ for operators of the form −∆+λa or more generally, cooperative systems operators of the form (−∆+λa −b −c −∆+λd ) where the potentials a and d vanish in ...
P. Álvarez-Caudevilla, A. Lemenant
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Advances in Nonlinear Analysis, 2023 In this article, we study the following Klein-Gordon-Maxwell system: −Δu−(2ω+ϕ)ϕu=g(u),inR3,Δϕ=(ω+ϕ)u2,inR3,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}-\Delta u-\left(2\omega +\phi )\phi u=g\left(u),\hspace{1.0em}{\rm{in}}\hspace{1em}{{\mathbb{
Liu Xiao-Qi, Li Gui-Dong, Tang Chun-Lei
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