VOL. 12 · NO. 8 | 2019
 
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Articles
Jonas Azzam, Mihalis Mourgoglou
Anal. PDE 12 (8), 1891-1941, (2019) DOI: 10.2140/apde.2019.12.1891
KEYWORDS: harmonic measure, elliptic measure, capacity density condition, $\Delta$-regular domains, tangent measures, Absolute continuity, rectifiability, 31A15, 28A75, 28A78, 28A33
Zachary Bradshaw, Tai-Peng Tsai
Anal. PDE 12 (8), 1943-1962, (2019) DOI: 10.2140/apde.2019.12.1943
KEYWORDS: Navier–Stokes equations, self-similar solution, Weak solution, 35Q30, 76D05
William M. Feldman, Yuming Paul Zhang
Anal. PDE 12 (8), 1963-2002, (2019) DOI: 10.2140/apde.2019.12.1963
KEYWORDS: Homogenization‎, boundary layers, oscillating boundary data, nonlinear elliptic equations, elliptic systems, 35B27, 35J57, 35J60
Taoufik Hmidi, Dong Li
Anal. PDE 12 (8), 2003-2065, (2019) DOI: 10.2140/apde.2019.12.2003
KEYWORDS: aggregation equations, Concentration, vortex patches, 35B44, 35A07, 35Q92
Jakob Hultgren
Anal. PDE 12 (8), 2067-2094, (2019) DOI: 10.2140/apde.2019.12.2067
KEYWORDS: coupled Kähler–Einstein metrics, Kähler–Einstein metrics, Monge–Ampère equations, Kähler manifolds, 32Q15, 32Q20, 32Q26, 53C25
Steve Hofmann, Phi Le, Andrew J. Morris
Anal. PDE 12 (8), 2095-2146, (2019) DOI: 10.2140/apde.2019.12.2095
KEYWORDS: square functions, nontangential maximal functions, harmonic measure, Radon–Nikodym derivative, Carleson measure, divergence form elliptic equations, Dirichlet problem, $A_2$ Muckenhoupt weights, reverse Hölder inequality, 35J25, 35J70, 42B20, 42B25
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