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Weighted and nonlocal Poisson equations on domains with capacity density conditions

Hara, Takanobu
arXiv (All) · Papers
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analysis-of-pdesfunctional-analysis
We establish necessary and sufficient conditions for global Hölder solvability of weighted Poisson equations and related fractional problems. On domains satisfying a capacity density condition, a nonnegative measure with bounded support depth admits a bounded globally Hölder continuous zero-boundary
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