Jun Geng

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math.AP2025

Higher Order Elliptic Equations on Nonsmooth Domains

Jun Geng

In 1995, D. Jerison and C. Kenig in \cite{JK-1995} considered the the inhomogeneous Dirichlet problem $I^ u = f$ on $I^c ◯$ , $u = 0$ on $\partial I^c ◯$ in Lipschitz domains. One of their mai…

math.AP2024

On the SchrÃ¶dinger equations with $B_{\infty}$ potentials in the region above a Lipschitz graph

Jun Geng, Ziyi Xu

In this paper we investigate the $L^{p}$ regularity, $L^{p}$ Neumann and $W^{1, p}$ problems for generalized SchrÃ¶dinger operator $- div (A \nabla) + V$ in the region above a Lips…

Higher Order Elliptic Equations on Nonsmooth Domains

On the SchrÃ¶dinger equations with B∞​ potentials in the region above a Lipschitz graph

On the SchrÃ¶dinger equations with $B_{\infty}$ potentials in the region above a Lipschitz graph