Harmonic deformability of planar curves
Commentationes Mathematicae Universitatis Carolinae (2021)
- Issue: 2, page 159-167
- ISSN: 0010-2628
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topSymeonidis, Eleutherius. "Harmonic deformability of planar curves." Commentationes Mathematicae Universitatis Carolinae (2021): 159-167. <http://eudml.org/doc/297577>.
@article{Symeonidis2021,
abstract = {We study the formerly established concept of deformation of a planar curve and clarify its applicability and range. We present several applications on classical curves.},
author = {Symeonidis, Eleutherius},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {harmonic function; harmonic deformation; harmonic family; curve; mean value property},
language = {eng},
number = {2},
pages = {159-167},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Harmonic deformability of planar curves},
url = {http://eudml.org/doc/297577},
year = {2021},
}
TY - JOUR
AU - Symeonidis, Eleutherius
TI - Harmonic deformability of planar curves
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2021
PB - Charles University in Prague, Faculty of Mathematics and Physics
IS - 2
SP - 159
EP - 167
AB - We study the formerly established concept of deformation of a planar curve and clarify its applicability and range. We present several applications on classical curves.
LA - eng
KW - harmonic function; harmonic deformation; harmonic family; curve; mean value property
UR - http://eudml.org/doc/297577
ER -
References
top- Khavinson D., Lundberg E., Linear Holomorphic Partial Differential Equations and Classical Potential Theory, Mathematical Surveys and Monographs, 232, American Mathematical Society, Providence, 2018. MR3821527
- Symeonidis E., Harmonic deformation of planar curves, Int. J. Math. Math. Sci. 2011 (2011), Art. ID 141209, 10 pages. MR2771222
- Symeonidis E., Harmonic families of planar curves, Potential Theory and Its Related Fields, RIMS Kôkyûroku Bessatsu, B43, Res. Inst. Math. Sci. (RIMS), Kyoto, 2013, pages 171–181. MR3220459
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