Third order boundary value problems with nonlocal boundary conditions
β Scribed by John R. Graef; J.R.L. Webb
- Book ID
- 108216220
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 576 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We investigate a quasi-linear boundary value problem of the form -div(Ξ±|βu| p-2 βu) = 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
## Abstract We study the nonlinear boundary value problem with nonhomogeneous multiβpoint boundary condition Sufficient conditions are found for the existence of solutions of the problem based on the existence of lower and upper solutions with certain relation. Using this existence result, under s