We investigate the behavior of weak solutions to the nonlocal Robin problem for quasilinear elliptic divergence second order equations in a neighborhood of the boundary corner point. We find an exponent of the solution decreasing rate near the boundary corner point.
Abstract:We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution's decreasing rate near the boundary singularities.
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