Generalization of the Robin Problem for the Laplace Equation

2019

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DOI 10.1134/s0012266119090027
Data confidence 70 medium
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Abstract

The solvability of a new class of boundary value problems for the Laplace equation is studied. The problem considered is a generalization of the classical Robin problem. Exact conditions are established for the solvability of the problem, and integral solution representations are constructed for various cases of data.