Geodesic
Minimization of energy integrals associated with the $p$-Laplacian in $\Bbb R^N$ for rearrangements
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we establish the existence of minimizers for energy integrals associated with the p-Laplacian in $\mathbb{R}^N$ with the admissible set being a rearrangement class of a given function. Some representation formulae of the minimizers are also stated.
Classification : 34K37, 46E35, 47H10
Keywords: Sobolev space, periodic solution, locally Lipschitz potential, AR-condition, nonsmooth C-condition, the least action principle, mountain pass lemma 
@article{EJDE_2014__2014__a68,
     author = {Ji, Shanming and Yin, Jingxue and Huang, Rui},
     title = {Minimization of energy integrals associated with the $p${-Laplacian} in $\Bbb R^N$ for rearrangements},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a68/}
}
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Ji, Shanming; Yin, Jingxue; Huang, Rui. Minimization of energy integrals associated with the $p$-Laplacian in $\Bbb R^N$ for rearrangements. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a68/