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math.AP2024
Uniformly Elliptic Equations on Domains with Capacity Density Conditions: Existence of Hölder Continuous Solutions and Homogenization Results
Takanobu Hara
This is a progress report on study of uniformly elliptic Poisson-type equations on domains with capacity density conditions (CDC domains). We give a brief summary of known facts of…
math.AP2024
Global Hölder solvability of second order elliptic equations with locally integrable lower-order coefficients
Takanobu Hara
We prove the existence of globally Hölder continuous solutions to certain elliptic partial differential equations with lower-order terms. Our result is applicable to coefficients c…