Nonlocal Robin problem in a plane domain with boundary corner point

Krzysztof Żyjewski


We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of the boundary corner point. We find an exponent of the solution decreasing rate under the minimal assumptions on the problem coefficients.


Robin problem; boundary corner point;boundary-value problem

Mathematics Subject Classification

35J25; 35J60; 35J85; 35B65


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