Geodesic
A survey of results on nonlinear Venttsel problems
Applications of Mathematics, Tome 45 (2000) no. 1, pp. 69-80 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1023/A:1022288717033
Classification : 35B05, 35B45, 35K60
Keywords: Venttsel boundary conditions; elliptic equations; parabolic equations; a priori estimates; existence theorems; boundary value problems 
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Apushkinskaya, D. E.; Nazarov, A. I. A survey of results on nonlinear Venttsel problems. Applications of Mathematics, Tome 45 (2000) no. 1, pp. 69-80. doi: 10.1023/A:1022288717033

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