Asymptotic Behaviors of Non-variational Elliptic Systems
Szu-yu Sophie Chen (IAS)
TL;DR
This paper investigates the long-term behavior of non-variational elliptic systems in higher dimensions using a Pohozeav-inspired method, focusing on solutions that change sign.
Contribution
It introduces a novel approach based on Pohozeav's method to analyze asymptotic behaviors of non-variational elliptic systems in dimensions greater than two.
Findings
Applicable to solutions that change sign
Provides new insights into asymptotic behaviors in higher dimensions
Extends understanding of non-variational elliptic systems
Abstract
We use a method, inspired by Pohozeav's work, to study asymptotic behaviors of non-variational elliptic systems in dimension n greater than two. The results apply to changing sign solutions.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Geometric Analysis and Curvature Flows