Arithmetic three-spheres theorems for quasilinear Riccati type inequalities
Seppo Granlund, Niko Marola
TL;DR
This paper establishes three-spheres inequalities for solutions of certain second order quasilinear elliptic equations with Riccati-type drift terms, advancing understanding of their solution behavior.
Contribution
It introduces arithmetic three-spheres inequalities for quasilinear Riccati-type inequalities, a novel extension in the analysis of elliptic differential equations.
Findings
Derived three-spheres inequalities for Riccati-type equations
Extended classical inequalities to quasilinear elliptic cases
Provided new tools for analyzing solution growth and decay
Abstract
We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.
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