2014/04/03 by Małgorzata Ciska-Niedziałomska, Malgorzata Ciska--Niedzialomska, Ciska--Niedzialomska, Malgorzata +3
Computer Science · Mathematics · #53C12 #58E20 #58E35 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.DG #msc:53C12 #msc:58E20 #msc:58E35
paper · pdf · doi:10.48550/arxiv.1404.0878
16 pages
arxiv created 2014/04/03 · openalex publication_date 2014/04/03 · arxiv updated 2014/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We continue the study of the variation of the p--modulus of a foliation initiated by the first author. We derive the formula for the second variation which allows to study p--stable foliations. We obtain some results concerning codimension one p--stable foliations. Moreover, we derive the equation for the critical point of the p--modulus functional of a foliation given by the level sets of smooth function. We show the correlation with the q--harmonicity. We give some examples. In particular, we show that foliations given by the distance function are critical points of p--modulus functional.