Sublinear elliptic systems with a convection term
Lucio Boccardo, Luigi Orsina
Abstract
In this paper, we study existence and properties of solutions for some nonlinear elliptic systems like {−div(A(x)∇u)+u=−div(u M(x)∇ψ)+f(x),−div(M(x)∇ψ)=uθ. The above Dirichlet problem is related to evolution systems connected with the mathematical study of partial differential equations models for chemotaxis and to systems connected with the mathematical analysis of models of flows in porous media.
Topics & Concepts
Sublinear functionMathematicsTerm (time)Partial differential equationNonlinear systemDirichlet problemElliptic curveConvectionMathematical analysisDirichlet distributionApplied mathematicsPhysicsBoundary value problemMechanicsQuantum mechanicsMathematical Biology Tumor GrowthAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential Equations