Volume 16, Issue 2
Harmonic Maps and Critical Points of Penalized Energy

Chunqin Zhou & Deliang Xu

DOI:

J. Part. Diff. Eq., 16 (2003), pp. 111-126.

Published online: 2003-05

Preview Full PDF 0 451
Export citation
  • 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.

  • Keywords

Harmonic map blow-up formula penalized energy

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{JPDE-16-111, author = {}, title = {Harmonic Maps and Critical Points of Penalized Energy}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5410.html} }
Copy to clipboard
The citation has been copied to your clipboard