Constrained and unconstrained rearrangement minimization problems related to the p-Laplace operator

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Constrained and unconstrained rearrangement minimization problems related to the p-Laplace operator

In this paper we consider an unconstrained and a constrained minimization problem related to the boundary value problem −∆pu = f in D, u = 0 on ∂D. In the unconstrained problem we minimize an energy functional relative to a rearrangement class, and prove existence of a unique solution. We also con...

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Bibliographic Details
Main Authors:	Emamizadeh, Behrouz, Liu, Yichen
Format:	Article
Published:	The Hebrew University Magnes Press 2015
Subjects:	Minimization Rearrangement theory Existence Uniqueness Radial solutions subdifferentials
Online Access:	https://eprints.nottingham.ac.uk/50884/

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