E. I. Galakhov, O. A. Salieva, “Blow-Up of Solutions of Some Nonlinear Inequalities with Singularities on Unbounded Sets”, Mat. Zametki, 2015, Volume 98, Issue 2,Pages <nobr>187

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Blow-Up of Solutions of Some Nonlinear Inequalities with Singularities on Unbounded Sets

E. I. Galakhov, O. A. Salieva

Moscow State Technological University "Stankin"

Abstract: Results on the blow-up of nontrivial nonnegative solutions for several classes of nonlinear partial differential inequalities with singularities on unbounded sets are obtained.

Keywords: nonlinear partial differential inequality, blow-up of solutions, elliptic inequality, parabolic inequality, Young's inequality.

UDC: 517.946

Received: 17.11.2014
Revised: 01.03.2015

DOI: 10.4213/mzm10622