The H\"older Quasicontinuity for Riesz-Morrey Potentials and Lane-Emden Equations
David R. Adams, J. Xiao
TL;DR
This paper investigates the H"older quasicontinuity properties of Riesz-Morrey potentials and Lane-Emden equations, aiming to deepen understanding of regularity in nonlinear potential theory.
Contribution
It introduces new regularity results for Riesz-Morrey potentials and Lane-Emden equations, expanding the theoretical framework in nonlinear potential analysis.
Findings
Established H"older quasicontinuity for Riesz-Morrey potentials
Derived regularity results for solutions to Lane-Emden equations
Extended existing theories in nonlinear potential regularity
Abstract
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics