Quasilinear two-phase Venttsel problems
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 11-38
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A majorant of the Hölder norms is established for solutions of the two-phase quasilinear parabolic (elliptic) boundary value problems with degenerate and nondegenerate Venttsel interface conditions. In addition, gradient estimates for solutions of the two-phase quasilinear nondegenerate Venttsel problems as well as the solvability results in Sobolev and Hölder spaces are obtained.