On the connection problem for the p-Laplacian system for potentials with several global minima

2013/11/05 by Nikolaos Karantzas, Karantzas, Nikolaos
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #math.CA

paper · pdf · doi:10.48550/arxiv.1311.1135

9 pages

arxiv created 2013/11/05 · openalex publication_date 2013/11/05 · arxiv updated 2013/11/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the existence of solutions to systems of ordinary differential equations that involve the p-Laplacian for potentials with several global minima. We consider the connection problem for potentials with two minima in arbitrary dimensions and with three or more minima on the plane.

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