Regularity of \(\int_ \Omega\mid\triangledown u\mid^ 2 + \lambda\int_ \Omega\mid u - f\mid^ 2\) and some gap phenomenon

DOI10.1007/BF00301791zbMath0794.35036OpenAlexW2158221824MaRDI QIDQ1202906

Feng Zhou, Rejeb Hadiji

Publication date: 25 February 1993

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00301791

zbMATH Keywords

regularitygap phenomenon

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Asymptotic analysis for two joined thin slanting ferromagnetic films ⋮ Ferromagnetic of nanowires of infinite length and infinite thin films ⋮ On the anisotropic Landau-Lifshitz equations ⋮ Asymptotic analysis, in a thin multidomain, of minimizing maps with values in \(S^2\) ⋮ \(nD-pD\) dimensional reduction of micromagnetic structures

Cites Work

• Boundary regularity and the Dirichlet problem for harmonic maps
• A regularity theory for harmonic maps
• Harmonic maps with defects
• Stable defects of minimizers of constrained variational principles
• Regularity of minimizers of relaxed problems for harmonic maps
• The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
• The Landau-Lifshitz equation with the external field -- a new extension for harmonic maps with values in \(S^ 2\)
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
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