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Physical Sciences and Engineering Mathematics Analysis

Riesz potential type estimates for nonlinear elliptic equations

Article ID Journal Published Year Pages File Type
5774002 Journal of Differential Equations 2017 41 Pages PDF
Abstract
For p≥2, we study nonlinear elliptic equations of p-Laplacian type with measure datadiva(Du,u,x)=μ in Ω when the nonlinearity depends on the variable of the possibly unbounded solution itself. We obtain the point-wise gradient bound and the gradient continuity in terms of a certain Riesz potential of the right-hand side measure.
Keywords
35B6535J6035R06primarysecondaryNonlinear elliptic equations
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Riesz potential type estimates for nonlinear elliptic equations
Authors
Youchan Kim,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35B65
35J60
35R06
primary
secondary
Nonlinear elliptic equations
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
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