Removability of singularities with anisotropic growth

Miroslav Dont; Josef, Jr. Král

Mathematica Bohemica (2003)

  • Volume: 128, Issue: 1, page 1-19
  • ISSN: 0862-7959

Abstract

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With help of suitable anisotropic Minkowski’s contents and Hausdorff measures some results are obtained concerning removability of singularities for solutions of partial differential equations with anisotropic growth in the vicinity of the singular set.

How to cite

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Dont, Miroslav, and Král, Josef, Jr.. "Removability of singularities with anisotropic growth." Mathematica Bohemica 128.1 (2003): 1-19. <http://eudml.org/doc/249221>.

@article{Dont2003,
abstract = {With help of suitable anisotropic Minkowski’s contents and Hausdorff measures some results are obtained concerning removability of singularities for solutions of partial differential equations with anisotropic growth in the vicinity of the singular set.},
author = {Dont, Miroslav, Král, Josef, Jr.},
journal = {Mathematica Bohemica},
keywords = {solutions of partial differential equations; removable singularities; anisotropic metric; Minkowski’s contents; anisotropic metric; Minkowski's contents},
language = {eng},
number = {1},
pages = {1-19},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Removability of singularities with anisotropic growth},
url = {http://eudml.org/doc/249221},
volume = {128},
year = {2003},
}

TY - JOUR
AU - Dont, Miroslav
AU - Král, Josef, Jr.
TI - Removability of singularities with anisotropic growth
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 1
SP - 1
EP - 19
AB - With help of suitable anisotropic Minkowski’s contents and Hausdorff measures some results are obtained concerning removability of singularities for solutions of partial differential equations with anisotropic growth in the vicinity of the singular set.
LA - eng
KW - solutions of partial differential equations; removable singularities; anisotropic metric; Minkowski’s contents; anisotropic metric; Minkowski's contents
UR - http://eudml.org/doc/249221
ER -

References

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  10. Removable singularities of solutions of partial differential equations, Thesis, MFF UK, Praha, 1993. (Czech) (1993) 
  11. A survey of removable singularities, Seminar Nonlinear Partial Differential Equations, New York, 1987, pp. 261–292. (1987) MR0765238
  12. 10.1007/BF02384327, Ark. Mat. 38 (2000), 399–409. (2000) MR1785409DOI10.1007/BF02384327
  13. The Analysis of Solutions of Elliptic Equations, Kluver Academic Publishers, 1997. (1997) Zbl0877.35002MR1447439
  14. Lectures on Linear Partial Differential Equations with Constant Coefficients, Rio de Janeiro, 1961. (1961) MR0155078
  15. Singularity of solutions of partial differential equations, Thesis, MFF UK, Praha, 1984. (Czech) (1984) 

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