Existence of p harmonic multiple valued maps into a separable Hilbert\n space

2014/02/14 by Philippe Bouafia, Bouafia, Philippe, Thierry De Pauw +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1402.3497

Abstract

The general existence of p-Dirichlet energy minimizing maps into Q_Q(l₂) is obtained.

Related

• Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in \CAT(1) spaces
• Partial Hölder continuity for Q-valued energy minimizing maps
• Polyharmonic maps into the Euclidean space
• Multiple valued maps into a separable Hilbert space that almost minimize their p Dirichlet energy or are squeeze and squash stationary
• Generic non-uniqueness of minimizing harmonic maps from a ball to a sphere