Geodesic
Minimization of energy integrals associated with the \(p\)-Laplacian in \(\mathbb R^N\) for rearrangements
Electronic journal of differential equations, Tome 2014 (2014)
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 \(\mathbb {R^N\)} for rearrangements},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.90048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a68/}
}
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%A Huang,  Rui
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%J Electronic journal of differential equations
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%F EJDE_2014__2014__a68
Ji,  Shanming; Yin,  Jingxue; Huang,  Rui. Minimization of energy integrals associated with the \(p\)-Laplacian in \(\mathbb R^N\) for rearrangements. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a68/