Uniform a priori estimates for positive solutions of the Lane-Emden\n equation in the plane

2018/02/02 by Nikola Kamburov, Kamburov, Nikola, Boyan Sirakov +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1802.00843

Abstract

We prove that positive solutions of the Lane-Emden equation in a\ntwo-dimensional smooth bounded domain are uniformly bounded for all large\nexponents.\n

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