Sharp Sobolev Inequalities via Projection Averages
Work
Year: 2020
Type: article
Abstract: A family of sharp Lp Sobolev inequalities is established by averaging the length of i-dimensional projections of the gradient of a function. Moreover, it is shown that each of these new inequalities d... more
Source: Journal of Geometric Analysis
Authors Philipp Kniefacz, Franz E. Schuster
Institution TU Wien
Cites: 36
Cited by: 10
Related to: 10
FWCI: 0.996
Citation percentile (by year/subfield): 66.29
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: hybrid
APC paid (est): $2,990
Grant IDS P31448-N35, Y603-N26, 306445