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Some discrete Sobolev's inequalities in three-dimensional spherical and cylindrical coordinates

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Abstract

The discrete Sobolev's inequalities inL p norm are proved for three-dimensional spherical and cylindrical coordinates, by using discrete Hölder inequality, property of the triangle functions and complicated deduction.

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References

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Authors and Affiliations

  1. Institute of Applied Mathematics, Academia Sinica, China

    Chang Qianshun

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  1. Chang Qianshun
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Chang, Q. Some discrete Sobolev's inequalities in three-dimensional spherical and cylindrical coordinates. Acta Mathematicae Applicatae Sinica 6, 113–125 (1990). https://doi.org/10.1007/BF02006748

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  • DOI: https://doi.org/10.1007/BF02006748

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