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Quasi-linear variable exponent boundary value problems with Wentzell–Robin and Wentzell boundary conditions

✍ Scribed by Vélez-Santiago, Alejandro

Book ID
121412645
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
569 KB
Volume
266
Category
Article
ISSN
0022-1236

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✍ Alejandro Vélez-Santiago 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 371 KB

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