Improved Hardy inequality with logarithmic term

Autor: Kutev, Nikolai, Rangelov, Tsviatko
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 8 pages
Databáze: arXiv