منابع مشابه
Stability of F-biharmonic maps
This paper studies some properties of F-biharmonic maps between Riemannian manifolds. By considering the first variation formula of the F-bienergy functional, F-biharmonicity of conformal maps are investigated. Moreover, the second variation formula for F-biharmonic maps is obtained. As an application, instability and nonexistence theorems for F-biharmonic maps are given.
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Abstract. We give a new proof of regularity of biharmonic maps from four-dimensional domains into spheres, showing first that the biharmonic map system is equivalent to a set of bilinear identities in divergence form. The method of reverse Hölder inequalities is used next to prove continuity of solutions and higher integrability of their second order derivatives. As a byproduct, we also prove t...
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and Applied Analysis 3 2.5. Laguerre Surface. LetΦ be a Laguerre surface inR. Any regular pointP onΦ is thus represented as in (16). Denote the corresponding isotropic surface by Φ with P given by (16). By duality, their corresponding curvatures are related by H ∗ = H K , K ∗ = 1 K . (17) Blaschke [6] defined the middle tangent sphere to be the tangent to the tangent plane P with radius
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2016
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-016-1622-0