On the minimality of the p-harmonic map - x/vertical bar x vertical bar : B-n -> Sn-1


Autoria(s): Hong, MC
Data(s)

01/01/2001

Resumo

We prove that for any real number p with 1 p less than or equal to n - 1, the map x/\x\ : B-n --> Sn-1 is the unique minimizer of the p-energy functional integral(Bn) \delu\(p) dx among all maps in W-1,W-p (B-n, Sn-1) with boundary value x on phiB(n).

Identificador

http://espace.library.uq.edu.au/view/UQ:37846

Idioma(s)

eng

Publicador

Springer-verlag

Palavras-Chave #Mathematics, Applied #Mathematics #Singularities #Theorem #X/<x> #X/<x>
Tipo

Journal Article