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

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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Datum:2005
Hauptverfasser: Skrypnik, I. I., Скрыпник, И. И.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3656
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal