Перегляд за Автор "Shan, M.A."
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- ДокументKeller–Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term(2017) Shan, M.A.; Skrypnik, I.I.In this article we study quasilinear equations model of which are Despite of the lack of comparison principle, we prove a priori estimates of Keller–Osserman type. Particularly under some natural assumptions on the function f, for nonnegative solutions of p-Laplace equation with absorption term we prove an estimate of the form with constant c independent of u, using this estimate we give a simple proof of the Harnack inequality. We prove a similar result for the evolution p-Laplace equation with absorption
- ДокументKeller–Osserman estimates and removability result for the anisotropic porous medium equation with gradient absorption term(2018) Shan, M.A.; Skrypnik, I.I.We study “large” nonnegative solutions for a class of quasilinear equations model of which is... We give a sufficient condition on the exponents 𝑚𝑖 and 𝑞𝑖 for the removability of isolated singularities.
- ДокументRemovable isolated singularities for solutions of anisotropic porous medium equation(2017) Shan, M.A.We study a class of quasilinear parabolic equations with model representative. We establish the pointwise condition for removability of singularity for solutions of such equations.