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(56 citation statements)

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“…Recent progress has been made, however, based on the observation that the lack of coercivity can be removed for one type of intrinsic biharmonic mappings (the type studied in the present paper), provided that one works in a geometrically motivated variant of Sobolev spaces [Moser 2008;Scheven 2009]. This approach permits methods analogous to what has been used for harmonic mappings.…”

confidence: 99%

“…Recent progress has been made, however, based on the observation that the lack of coercivity can be removed for one type of intrinsic biharmonic mappings (the type studied in the present paper), provided that one works in a geometrically motivated variant of Sobolev spaces [Moser 2008;Scheven 2009]. This approach permits methods analogous to what has been used for harmonic mappings.…”

confidence: 99%

“…see [Scheven 2009;Moser 2008]. In [Scheven 2009] it is shown that a mapping u ∈ W 2,2 (S, N ) is biharmonic precisely if it satisfies…”

confidence: 99%

“…non-harmonic biharmonic, maps are studied. The theory of biharmonic maps has two main directions: one concerns the analytic properties (see [20,39,45,64]) and the other deals with geometric aspects. In the following we shall only refer to the latter.…”

confidence: 99%