Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds
The goal of the paper is four-fold. In the setting of non-smooth spaces with Ricci curvature lower bounds (more precisely RCD(K,N) metric measure spaces): - we develop an intrinsic theory of Laplacian bounds in viscosity sense and in a (seemingly new) heat flow sense, showing their equivalence als...
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
American Mathematical Society
2021
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