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The oblique derivative problem. II. (English) Zbl 0414.35025


MSC:

35J25 Boundary value problems for second-order elliptic equations
35J70 Degenerate elliptic equations
35A30 Geometric theory, characteristics, transformations in context of PDEs

Citations:

Zbl 0362.35025
Full Text: DOI

References:

[1] Agmon, S.; Douglis, A.; Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math., 12, 623-727 (1959) · Zbl 0093.10401 · doi:10.1002/cpa.3160120405
[2] Янушаускас, А. И., Глбальние методы исследования задачи о наклонной производной для эллиптических уравнений, Diff. uravn., 12, 159-171 (1976)
[3] Maz’ja, V. G., On a degenerating problem with directional derivative, Math. USSR Sbornik, 16, 429-469 (1972) · Zbl 0262.35024 · doi:10.1070/SM1972v016n03ABEH001435
[4] Winzell, B., Solutions of second order elliptic partial differential equations with prescribed directional derivative on the boundary.Linköping Studies in Science and Technology, Dissertations No003 (1975).
[5] Winzell, B., The oblique derivative problem I, Math. Ann., 229, 267-278 (1977) · Zbl 0362.35025 · doi:10.1007/BF01391472
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