A note on local asymptotics of solutions to singular elliptic equations via monotonicity methods
Veronica Felli, Alberto Ferrero, Susanna Terracini
TL;DR
This paper advances the understanding of the local asymptotic behavior of solutions to singular elliptic equations by refining monotonicity methods, building on previous work to provide more comprehensive results.
Contribution
It offers improved and extended asymptotic analysis of solutions to singular elliptic equations using Almgren type monotonicity formulas.
Findings
Enhanced asymptotic descriptions of solutions near singularities
Refined monotonicity formulas applicable to broader classes of equations
Partial improvements over previous asymptotic results
Abstract
This paper completes and partially improves some of the results of [arXiv:0809.5002] about the asymptotic behavior of solutions of linear and nonlinear elliptic equations with singular coefficients via an Almgren type monotonicity formula
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Taxonomy
TopicsNumerical methods in engineering · Differential Equations and Boundary Problems · Advanced Mathematical Modeling in Engineering