Hölder continuity and Harnack estimate for non-homogeneous parabolic equations

V Arya, V Julin - Mathematische Annalen, 2024 - Springer
In this paper we continue the study on intrinsic Harnack inequality for non-homogeneous
parabolic equations in non-divergence form initiated by the first author in Arya (Calc Var …

[HTML][HTML] Growth of subsolutions to fully nonlinear equations in halfspaces

NLP Lundström - Journal of Differential Equations, 2022 - Elsevier
We characterize lower growth estimates for subsolutions in halfspaces of fully nonlinear
partial differential equations on the form F (x, u, D u, D 2 u)= 0 in terms of solutions to …

Estimates of -harmonic functions in planar sectors

NLP Lundström, J Singh - arXiv preprint arXiv:2111.02721, 2021 - arxiv.org
Suppose that $ p\in (1,\infty] $, $\nu\in [1/2,\infty) $, $\mathcal {S} _\nu=\left\{(x_1,
x_2)\in\mathbb {R}^ 2\setminus\{(0, 0)\}:|\phi|<\frac {\pi}{2\nu}\right\} $, where $\phi $ is the …