Nikolai Kutev, Tsviatko Rangelov
Published 2023-08-06Version 1
New Hardy type inequality with double singular kernel and with additional logarithmic term in a ball $B\subset \mathbb{R}^n$ is proved. As an application an estimate from below of the first eigenvalue for Dirichlet problem of p-Laplacian in a bounded domain $\Omega\subset \mathbb{R}^n$ is obtain.
Applications of Fourier analysis in homogenization of Dirichlet problem II. $L^p$ estimates
Dirichlet problems on graphs with ends
The Dirichlet problem for nonlocal operators with singular kernels: convex and nonconvex domains
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