TL;DR
This paper presents a geometric approach to proving the De Giorgi-Nash-Moser theory, which is fundamental in regularity theory for partial differential equations.
Contribution
It introduces a novel geometric method to establish the classical De Giorgi-Nash-Moser results, offering new insights into their proofs.
Findings
Established regularity results for elliptic PDEs
Provided a geometric proof framework
Enhanced understanding of De Giorgi-Nash-Moser theory
Abstract
We prove De Giorgi-Nash-Moser Theory using a geometric approach.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematics and Applications