Geodesic
On the spectrum of a~nonlinear operator associated with calculation of the norm of a~linear vector-functional
Eurasian mathematical journal, Tome 5 (2014) no. 2, pp. 132-138

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An explicit formula is presented for the norm if $1\le p\le\infty$ and for the quasi-norm if $0$ of a linear vector-functional $L\colon H\to l_p$ on a Hilbert space $H$ and the set of all extremal elements is described. All eigenvalues and eigenvectors of a nonlinear homogeneous operator entering the corresponding Euler's equation, are written out explicitly. 
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     author = {V. I. Burenkov and T. V. Tararykova},
     title = {On the spectrum of a~nonlinear operator associated with calculation of the norm of a~linear vector-functional},
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V. I. Burenkov; T. V. Tararykova. On the spectrum of a~nonlinear operator associated with calculation of the norm of a~linear vector-functional. Eurasian mathematical journal, Tome 5 (2014) no. 2, pp. 132-138. http://geodesic.mathdoc.fr/item/EMJ_2014_5_2_a6/