Results 11 to 20 of about 328 (51)
$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension [PDF]
, 2010 The Dirichlet boundary value problem for the Stokes operator with $L^p$ data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered.
Dindoš, Martin, Maz'ya, Vladimir
core +2 more sources
Coupled Versus Uncoupled Blow-Up Rates in Cooperative n-Species Logistic Systems
Advanced Nonlinear Studies, 2017 This paper ascertains the exact boundary blow-up rates of the large positive solutions of a class of cooperative logistic systems involving n species in a general domain of ℝN{\mathbb{R}^{N}} of class 𝒞2+ν{\mathcal{C}^{2+\nu ...
López-Gómez Julián, Maire Luis
doaj +1 more source
Weak solutions for generalized p-Laplacian systems via Young measures
Moroccan Journal of Pure and Applied Analysis, 2018 We prove the existence of weak solutions to a generalized p-Laplacian systems in degenerate form. The techniques of Young measure for elliptic systems are used to prove the existence result.
Azroul Elhoussine, Balaadich Farah
doaj +1 more source
, 2020 In this paper we address questions on the existence and multiplicity of solutions to the nonlinear elliptic system in divergence form ⎧⎨ ⎩ div (H∇u) = Hs|∇u|u+[cof∇u]∇P in Ω, det∇u = 1 in Ω, u = φ on ∂Ω.
George Morrison, A. Taheri
semanticscholar +1 more source
On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Advances in Nonlinear Analysis, 2019 In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj +1 more source
An Efficient Method For Solving Highly Anisotropic Elliptic Equations [PDF]
, 2011 Solving elliptic PDEs in more than one dimension can be a computationally expensive task. For some applications characterised by a high degree of anisotropy in the coefficients of the elliptic operator, such that the term with the highest derivative in ...
Alberto Scotti +19 more
core +3 more sources
Advances in Nonlinear Analysis, 2020 We study positive solutions to the fractional Lane-Emden ...
Bhakta Mousomi, Nguyen Phuoc-Tai
doaj +1 more source
Multiple solutions for an elliptic system with indefinite Robin boundary conditions
Advances in Nonlinear Analysis, 2017 Multiplicity of solutions is proved for an elliptic system with an indefinite Robin boundary condition under an assumption that links the linearisation at 0 and the eigenvalues of the associated linear scalar operator.
Amster Pablo
doaj +1 more source
A posteriori analysis of the spectral element discretization of a non linear heat equation
Advances in Nonlinear Analysis, 2020 The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj +1 more source
Advances in Differential Equations, 2013 In this paper we present the numerical method for the solution of the Riemann problem for the second-order improperly elliptic equation. First, we reduce this problem to boundary value problems for properly elliptic equations, and after that we solve ...
A. O. Babayan +1 more
semanticscholar +1 more source