Local and global properties of p-Laplace Henon equation
Geyang Du, Shulin Zhou
TL;DR
This paper investigates the properties of solutions to the p-Laplace Hénon equation, providing estimates, analyzing local and global behaviors, and extending radial results to nonradial solutions.
Contribution
It offers new a priori estimates and extends the understanding of radial solutions to nonradial cases in the p-Laplace Hénon equation.
Findings
Derived a priori estimates for positive radial solutions
Analyzed local and global properties of solutions
Extended radial results to nonradial solutions
Abstract
We first give some apriori estimates of positive radial solutions of -Laplace H\'enon equation. Then we study the local and global properties of those solutions. Finally, we generalize some radial results to the nonradial case.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations