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Optimal gradient estimates via Riesz potentials for p(·)-Laplacian type equations : Optimal Gradient Estimates via Riesz Potentials for P(Center Dot)-laplacian Type Equations
Cited 13 time in
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Cited 14 time in Scopus
- Authors
- Issue Date
- 2017-12
- Publisher
- Oxford University Press
- Citation
- Quarterly Journal of Mathematics, Vol.68 No.4, pp.1071-1115
- Abstract
- We investigate degenerate elliptic equations with coefficients of p(center dot)-Laplacian type when the right-hand side is a finite Borel measure. An optimal pointwise estimate of the gradient of a very weak solution to such a measure data problem is obtained via a Riesz potential of the measure under a minimal regularity requirement on the associated coefficients and an optimal condition on the variable exponent p(center dot). As a consequence, we are able to derive a C-1 regularity criterion as well as a Calderon-Zygmund-type estimate in the literature.
- ISSN
- 0033-5606
- Language
- English
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