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

Author: Skrypnik I.  

Publisher: Springer Publishing Company

ISSN: 0041-5995

Source: Ukrainian Mathematical Journal, Vol.57, Iss.7, 2005-07, pp. : 1149-1166

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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.