Sobolev inequality with non-uniformly degenerating gradient

In this paper we prove the following weighted Sobolev inequality in a bounded domain $\Omega\subset \mathbb{R}^n$, $ n\geq 1$, of a homogeneous space $(\mathbb{R}^n, \rho, wdx)$, under suitable compatibility conditions on the positive weight functions $( v, w, \omega_1, \omega_2, \dots, \omega_n )$...

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Bibliographic Details
Main Authors: Farman Mamedov, Sara Monsurrò
Format: Article
Language:English
Published: University of Szeged 2022-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9821