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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2005 Volume 46, Number 2, Pages 325–331 (Mi smj967)

This article is cited in 1 paper

Some exact estimates of weak solutions to a mixed boundary value problem for nonlinear equations in domains with nonsmooth boundary

T. S. Gadzhiev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We obtain the exact estimates of the rate of decrease and some estimates for the modulus of the gradient of the solution in a neighborhood of a conical point of the boundary.

Keywords: nonlinear equations, behavior of solutions, nonsmooth domains.

UDC: 517.956.25

Received: 30.05.2002


 English version:
Siberian Mathematical Journal, 2005, 46:2, 254–259

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© Steklov Math. Inst. of RAS, 2024