Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774002 | Journal of Differential Equations | 2017 | 41 Pages |
Abstract
For pâ¥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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Youchan Kim,