Geodesic
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. 
@article{ZNSL_2000_271_a1,
     author = {D. E. Apushkinskaya and A. I. Nazarov},
     title = {Quasilinear two-phase {Venttsel} problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {11--38},
     publisher = {mathdoc},
     volume = {271},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a1/}
}
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D. E. Apushkinskaya; A. I. Nazarov. 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. http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a1/