2017
Том 69
№ 9

All Issues

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

Skrypnik I. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 7, pp 1149-1166.

Citation Example: Skrypnik I. I. Removability of an Isolated Singularity of Solutions of Nonlinear Elliptic Equations with Absorption // Ukr. Mat. Zh. - 2005. - 57, № 7. - pp. 972–988.

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