A Pohozaev-type formula and Quantization of Horizontal Half-Harmonic Maps
Analysis of PDEs
2016-07-20 v1
Abstract
In a recent paper the first and the third authors introduced the notion of horizontal \alpha-harmonic map, with respect to a given C^1 planes distribution P_T on all R^m. The goal of this paper is to investigate compactness and quantization properties of sequences of horizontal 1/2- harmonic maps u_k in 1D. The quantization analysis is obtained through a precise asymptotic development of the energy of u_k in the neck regions and a subtle application of new Pohozaev-type formulae.
Keywords
Cite
@article{arxiv.1607.05504,
title = {A Pohozaev-type formula and Quantization of Horizontal Half-Harmonic Maps},
author = {Francesca Da Lio and Paul Laurain and Tristan Rivière},
journal= {arXiv preprint arXiv:1607.05504},
year = {2016}
}
Comments
41 pages