On minima of a functional of the gradient: upper and lower solutions

This paper studies a scalar minimization problem with an integral functional of the gradient under affine boundary conditions. A new approach is proposed using a minimal and a maximal solution to the convexified problem. We prove a density result: any relaxed solution continuously depending on bound...

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Bibliographic Details
Main Author: Goncharov, Vladimir (author)
Other Authors: Ornelas, António (author)
Format: article
Language:eng
Published: 2011
Subjects:
scalar variational problem
nonconvex lagrangian
Baire category theorem
continuous selection
relaxation
Online Access:http://hdl.handle.net/10174/2548
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/2548

Internet

http://hdl.handle.net/10174/2548

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