Singularities for \(p\)-energy minimizing unit vector fields on planar domains

DOI10.1007/BF01189395zbMath0828.58008OpenAlexW1978986596MaRDI QIDQ1894805

Robert M. Hardt, Fang-Hua Lin

Publication date: 8 January 1996

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01189395

zbMATH Keywords

singularitiesharmonic mapsreal analytic maps\(p\)-energy minimizers

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items

The interplay between analysis and topology in some nonlinear PDE problems, On the minimality of the \(p\)-harmonic map \(x/\|x\|\) for weighted energy, Solutions of Ginzburg-Landau equations and critical points of the renormalized energy, Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains, Renormalized energies for unit-valued harmonic maps in multiply connected domains, Asymptotic behavior of minimizing \(p\)-harmonic maps when \(p \nearrow 2\) in dimension 2, Singularities of harmonic maps, \(p\)-harmonic maps to \(S^1\) and stationary varifolds of codimension two, Radial minimizers of \(p\)-Ginzburg-Landau type with \(p\in (n - 1,n)\), Generalized Ginzburg-Landau equations in high dimensions, The minimality of the map \(\frac{x}{\| x \|}\) for weighted energy, Global analysis of a \(p\)-Ginzburg-Landau energy with radial structure, An induction principle for the weighted \(p\)-energy minimality of \(x/|x|\), A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals, Convergence relation between \(p(x)\)-harmonic maps and minimizers of \(p(x)\)-energy functional with penalization, ENERGY CONCENTRATION PROPERTIES OF A p-GINZBURG–LANDAU MODEL, Three-spheres theorem for \(p\)-harmonic mappings

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