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Abstract For p ≥ 2 , we study nonlinear elliptic equations of p -Laplacian type with measure data div a ( D u , u , x ) = μ… Click to show full abstract
Abstract For p ≥ 2 , we study nonlinear elliptic equations of p -Laplacian type with measure data div a ( D u , 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:
riesz potential;
potential type;
type estimates;
elliptic equations;
nonlinear elliptic;
equations riesz
Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!