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Existence of solutions to quasi-linear elliptic problems with generalized Robin boundary conditions

✍ Scribed by Markus Biegert; Mahamadi Warma

Book ID
108216601
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
333 KB
Volume
73
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Quasi-linear boundary value problems wit
Quasi-linear boundary value problems with generalized nonlocal boundary conditions
✍ 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