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Removability of isolated singularities for anisotropic elliptic equations with gradient absorption

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Abstract

We study isolated singularities of solutions of a class of quasilinear equations a model of which is \(\sum\nolimits_{i = 1}^n {{{\left( {{{\left| {{u_{{x_i}}}} \right|}^{{p_i} - 2}}{u_{{x_i}}}} \right)}_{{x_i}}}} + {\sum\nolimits_{i = 1}^n {\left| {{u_{{x_i}}}} \right|} ^{{q_i}}} = 0\) . We give a sufficient condition on the exponents {p i } and {q i } for the removability of such singularities.

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Authors and Affiliations

  1. The Division of Applied Problems in Contemporary Analysis, Institute of Mathematics of NASU, Kiev, Ukraine

    Igor I. Skrypnik

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  1. Igor I. Skrypnik
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Skrypnik, I.I. Removability of isolated singularities for anisotropic elliptic equations with gradient absorption. Isr. J. Math. 215, 163–179 (2016). https://doi.org/10.1007/s11856-016-1377-7

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  • DOI: https://doi.org/10.1007/s11856-016-1377-7

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