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Mixed local and nonlocal equations with measure data

Cited 4 time in Web of Science Cited 5 time in Scopus
Authors

Byun, Sun Sig; Song, Kyeong

Issue Date
2023-01
Publisher
Springer Verlag
Citation
Calculus of Variations and Partial Differential Equations, Vol.62 No.1, p. 14
Abstract
We study nonlinear measure data problems involving elliptic operators modeled after the mixed local and nonlocal p-Laplacian. We establish existence, regularity and Wolff potential estimates for solutions. As a consequence, we are able to obtain Calderon-Zygmund type estimates and continuity criteria for solutions.
ISSN
0944-2669
URI
https://hdl.handle.net/10371/188819
DOI
https://doi.org/10.1007/s00526-022-02349-7
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