Sobolev maps with integer degree and applications to Skyrme’s problem

DOI10.1098/rspa.1992.0014zbMath0757.49010OpenAlexW2108973416MaRDI QIDQ3990848

Maria J. Esteban, Stefan Müller

Publication date: 28 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1992.0014

zbMATH Keywords

Skyrme's probleminteger degree

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (13)

Existence of energy minimizers as stable knotted solitons in the Faddeev model ⋮ Degree theory of BMO. I: Compact manifolds without boundaries ⋮ Existence and regularity for generalised harmonic maps associated to a nonlocal polyconvex energy of Skyrme type ⋮ THE PONTRJAGIN–HOPF INVARIANTS FOR SOBOLEV MAPS ⋮ A note on weak approximation of minors ⋮ Approximation in Sobolev spaces of nonlinear expressions involving the gradient ⋮ On the distributional Jacobian of maps from \(\mathbb{S}^N\) into \(\mathbb{S}^N\) in fractional Sobolev and Hölder spaces ⋮ Unnamed Item ⋮ Estimates for the topological degree and related topics ⋮ A new approximation of relaxed energies for harmonic maps and the Faddeev model ⋮ A fixed point theorem for a class of Sobolev maps ⋮ Existence criteria for baby skyrmions for a wide range of potentials ⋮ Compatibility conditions of continua using Riemann–Cartan geometry

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