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Seminar on nonlinear problems of partial differential equations and mathematical physics
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On higher integrability of a gradient of a solution to the Zaremba problem on a fractal G. A. Chechkin Lomonosov Moscow State University, Faculty of Mechanics and Mathematics |
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Abstract: In the talk we consider a problem with a rapidly changing type of boundary conditions on a fractal for a second-order elliptic equation. It is proved that the gradient of the solution satisfies the Boyarsky-Meyers estimates with an exponent greater than two. |
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