A global existence result for the heat flow of higher dimensional H-systems

DOI10.1016/J.MATPUR.2011.11.001zbMath1241.35053OpenAlexW2029942385MaRDI QIDQ764915

Masashi Misawa, Anna Verde, Chiara Leone

Publication date: 16 March 2012

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2011.11.001

zbMATH Keywords

heat flowglobal weak solutions\(H\)-systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48)

Related Items (9)

On the H-systems in higher dimension ⋮ Local regularity and compactness for the \(p\)-harmonic map heat flows ⋮ The discrete Morse flow method for parabolic \(p\)-Laplacian systems ⋮ Regularity for the evolution of \(p\)-harmonic maps ⋮ The regularity for nonlinear parabolic systems of \(p\)-Laplacian type with critical growth ⋮ Global existence and partial regularity for the \(p\)-harmonic flow ⋮ The evolution of \(H\)-surfaces with a Plateau boundary condition ⋮ Regularity of the \(m\)-symphonic map ⋮ Weak solutions to the heat flow for surfaces of prescribed mean curvature

Cites Work

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• The concentration-compactness principle in the calculus of variations. The limit case. II
• On the evolution of harmonic mappings of Riemannian surfaces
• Heat flow for the equation of surfaces with prescribed mean curvature
• Heat flow of \(p\)-harmonic maps with values into spheres
• The existence of the heat flow of \(H\)-systems.
• On the \(p\)-harmonic flow into spheres in the singular case
• A compactness theorem for weak solutions of higher-dimensional \(H\)-systems
• Existence and regularity for higher-dimensional \(H\)-systems
• Einige Bemerkungen über die Regularität von stationären Punkten gewisser geometrischer Variationsintegrale
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Regularity of high-dimensional H-systems
• Global weak solutions of the p-harmonic flow into homogeneous spaces
• Semicontinuity problems in the calculus of variations

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