Intrinsically \(p\)-biharmonic maps

DOI10.1007/s00526-013-0688-3zbMath1314.58006OpenAlexW2000948742MaRDI QIDQ471091

Peter Hornung, Roger Moser

Publication date: 13 November 2014

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

Full work available at URL: https://doi.org/10.1007/s00526-013-0688-3

zbMATH Keywords

harmonic mapbiharmonic mapmonotonicity formulap-harmonic map

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Variational methods for higher-order elliptic equations (35J35)

Related Items (8)

The maximal principle for properly immersed submanifolds and its applications ⋮ Unnamed Item ⋮ Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian ⋮ Some results of \(p\)-biharmonic submanifolds in a Riemannian manifold of non-positive curvature ⋮ Biharmonic hypersurfaces with bounded mean curvature ⋮ Biharmonic hypersurfaces in a sphere ⋮ Higher order intrinsic weak differentiability and Sobolev spaces between manifolds ⋮ \(F\)-biharmonic maps into general Riemannian manifolds

Cites Work

• An optimal partial regularity result for minimizers of an intrinsically defined second-order functional
• Multiple integrals in the calculus of variations
• A monotonicity formula for Yang-Mills fields
• Manifold constrained variational problems
• A Variational Problem Pertaining to Biharmonic Maps
• Mappings minimizing theLp norm of the gradient
• Weakly Differentiable Functions
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