A nonlinear elliptic system with a transport term and singular data

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED Applicable Analysis Pub Date : 2024-03-07 DOI:10.1080/00036811.2024.2325450

Lucio Boccardo, Luigi Orsina, J. Ignacio Tello

引用次数: 0

Abstract

We consider the nonlinear elliptic system {u∈W0NN−1(Ω):−div(M(x)∇u)+u=−div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):−div(M(x)∇ψ)+ψ=R(u)+E(x)∇ψ, where Ω is a bounded, open subset of RN, N≥ 3; M(x) is a coercive, s...

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带传输项和奇异数据的非线性椭圆系统

我们考虑非线性椭圆系统{u∈W0NN-1(Ω):-div(M(x)∇u)+u=-div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):-div(M(x)∇ψ)+ψ=R(u)+E(x)∇ψ，其中Ω是RN的一个有界、开放子集，N≥3；M(x)是一个胁迫、s...

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.