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A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

✍ Scribed by Gunzburger, Max; Lehoucq, R. B.


Book ID
111927075
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
245 KB
Volume
8
Category
Article
ISSN
1540-3459

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πŸ“œ SIMILAR VOLUMES


Quasi-linear boundary value problems wit
✍ Alejandro VΓ©lez-Santiago πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 371 KB

We investigate a quasi-linear boundary value problem of the form -div(Ξ±|βˆ‡u| p-2 βˆ‡u) = 0 involving a general boundary map and mixed Neumann boundary conditions on a bounded Lipschitz domain. We show existence, uniqueness, and HΓΆlder continuity of the weak solution of this mixed boundary value problem