Certain nonlocal boundary-value problems for linear differential operators
โ Scribed by B. P. Paneyakh
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1984
- Tongue
- English
- Weight
- 474 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0001-4346
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๐ SIMILAR VOLUMES
We investigate a quasi-linear boundary value problem of the form -div(ฮฑ|โu| p-2 โu) = 0 involving a general boundary map and mixed Neumann boundary conditions on a bounded Lipschitz domain. We show existence, uniqueness, and Hรถlder continuity of the weak solution of this mixed boundary value problem
## Abstract We explore the extent to which basic differential operators (such as LaplaceโBeltrami, Lamรฉ, NavierโStokes, etc.) and boundary value problems on a hypersurface ๐ฎ in โ^__n__^ can be expressed globally, in terms of the standard spatial coordinates in โ^__n__^ . The approach we develop al