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Keller–Osserman a priori estimates and the removability result for the anisotropic porous medium equation with absorption term

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Abstract

We obtain the removability result for quasilinear equations of the form

$$ {u}_t-\sum \limits_{i=1}^n{\left({u}^{m_i-1}{u}_{x_i}\right)}_{x_i}+f(u)=0,u\ge 0, $$

and prove a priori estimates of the Keller–Osserman type.

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Authors and Affiliations

  1. Vasyl’ Stus Donetsk National University, Vinnytsia, Ukraine

    Maria A. Shan

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  1. Maria A. Shan
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Correspondence to Maria A. Shan.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 15, No. 1, pp. 80–93 January–March, 2018.

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Shan, M.A. Keller–Osserman a priori estimates and the removability result for the anisotropic porous medium equation with absorption term. J Math Sci 235, 63–73 (2018). https://doi.org/10.1007/s10958-018-4059-7

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  • DOI: https://doi.org/10.1007/s10958-018-4059-7

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