A weighted anisotropic Sobolev type inequality and its applications to\n Hardy inequalities

2019/02/06 by Giuseppina di Blasio, di Blasio, Giuseppina, Giovanni Pisante +3 · 1 citation
Mathematics · Engineering · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1902.02091

Abstract

In this paper we focus our attention on an embedding result for a weighted\nSobolev space that involves as weight the distance function from the boundary\ntaken with respect to a general smooth gauge function F. Starting from this\ntype of inequalities we prove some refined Hardy-type inequalities.\n

Cited by

• Anisotropic Improved Leray-Trudinger Inequality

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