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A survey of results on nonlinear Venttsel problems

Darya E. ApushkinskayaAlexander I. Nazarov — 2000

Applications of Mathematics

We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and Hölder spaces.

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