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Removability of an Isolated Singularity of Solutions of Nonlinear Elliptic Equations with Absorption

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Abstract

We prove a priori estimates for singular solutions of nonlinear elliptic equations with absorption. Using these estimates, we establish precise conditions for the behavior of the absorption term of the equation under which solutions with point singularities do not exist.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk, Ukraine

    I. I. Skrypnik

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  1. I. I. Skrypnik
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 7, pp. 972–988, July, 2005.

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Skrypnik, I.I. Removability of an Isolated Singularity of Solutions of Nonlinear Elliptic Equations with Absorption. Ukr Math J 57, 1149–1166 (2005). https://doi.org/10.1007/s11253-005-0252-1

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  • DOI: https://doi.org/10.1007/s11253-005-0252-1

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