An approach to minimization under constraint: the added mass technique

2009/06/05 by Louis Jeanjean, Marco Squassina, Jeanjean, Louis +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #math.AP #msc:35J40 #msc:58E05

paper · pdf · doi:10.48550/arxiv.0906.1081

23 pages

arxiv created 2009/06/09 · arxiv updated 2009/12/01

Abstract

We present an approach to minimization under constraint. We explore the connections of this technique with the general method of Compactness by Concentration of P.L. Lions and present applications to some constrained semi-linear and quasi-linear elliptic problems.

Citations

• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Orbital stability of standing waves for some nonlinear Schr�dinger equations

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