H?lder continuity for Trudinger's equation in measure spaces

Kuusi T.; Laleoglu R.; Siljander J.; Urbano J.M.

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H?lder continuity for Trudinger's equation in measure spaces

机译：度量空间中Trudinger方程的H？lder连续性

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摘要

We complete the study of the regularity for Trudinger's equation by proving that weak solutions are H?lder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling.

机译：通过证明弱解在奇异情况下也是H？lder连续的，我们完成了对Trudinger方程正则性的研究。设置是带有倍增非平凡Borel度量的度量空间的设置，该度量支持Poincaré不等式。证明使用Harnack不等式和内在标度。

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《Calculus of variations and partial differential equations》 |2012年第2期|共37页
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Kuusi T.; Laleoglu R.; Siljander J.; Urbano J.M.;
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正文语种 eng
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7. Hölder continuity for trudinger’s equation in measure spaces [O] . Tuomo Kuusi, Rojbin Laleoglu, Juhana Siljander, 2011

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H?lder continuity for Trudinger's equation in measure spaces

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