Harmonic Maps and Critical Points of Penalized Energy

Harmonic Maps and Critical Points of Penalized Energy

Year:    2003

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 2 : pp. 111–126

Abstract

We discuss a sequence solutions u_ε for the E-L equations of the penalized energy defined by Chen-Struwe. We show that the blow-up set of u_ε is a H^{m-2} - rectifiable set and its weak limit satisfies a blow-up formula. Consequently, the weak limit will be a stationary harmonic map if and only if the blow-up set is stationary.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JPDE-5410

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 2 : pp. 111–126

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Harmonic map