\(f\)-harmonic maps which map the boundary of the domain to one point in the target

zbMath1202.58012MaRDI QIDQ2461603

Neil Course

Publication date: 28 November 2007

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116828

zbMATH Keywords

harmonic mapsRiemannian surfaceboundary\(f\)-harmonicconstant boundary data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (20)

General \(f\)-harmonic morphisms ⋮ Some isolation results for \(f\)-harmonic maps on weighted Riemannian manifolds with boundary ⋮ Stability of \(\lambda\)-harmonic maps ⋮ Unnamed Item ⋮ Rigidity results for self-shrinking surfaces in \(\mathbb{R}^4\) ⋮ f-Biminimal submanifolds of generalized space forms ⋮ On \(f\)-bi-harmonic maps and bi-\(f\)-harmonic maps between Riemannian manifolds ⋮ Bi-\(f\)-harmonic map equations on singly warped product manifolds ⋮ Vanishing theorems for \(f\)-\(CC\) stationary maps with potential \(H\) into Grushin spaces ⋮ \(f\)-harmonic maps of doubly warped product manifolds ⋮ Some results on harmonic and bi-harmonic maps ⋮ Unnamed Item ⋮ \(f\)-harmonic morphisms between Riemannian manifolds ⋮ Liouville type theorems of \(f\)-harmonic maps with potential ⋮ \(F\)-harmonic maps as global maxima ⋮ On the Generalized of p-harmonic and f-harmonic Maps ⋮ Unnamed Item ⋮ Some remarks on bi-\(f\)-harmonic maps and \(f\)-biharmonic maps ⋮ Unnamed Item ⋮ Bi-f-harmonic curves and hypersurfaces

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