Geodesic
Existence and concentration of solutions for a $p$-Laplace equation with potentials in $\Bbb R^N$
Electronic Journal of Differential Equations, Tome 2010 (2010).

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

Summary: We study the p-Laplace equation with Potentials $$ -\hbox{div}(|\nabla u|^{p-2}\nabla u)+\lambda V(x)|u|^{p-2}u=|u|^{q-2}u, $ u\in W^{1,p}(\mathbb{R}^N), x\in \mathbb{R}^N$ where $2\leq p, p$. Using a concentration-compactness principle from critical point theory, we obtain existence, multiplicity solutions, and concentration of solutions.$$
Classification : 35J25, 35J60
Keywords: potentials, critical point theory, concentration, existence, concentration-compactness, p-Laplace 
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     author = {Wu, Mingzhu and Yang, Zuodong},
     title = {Existence and concentration of solutions for a $p${-Laplace} equation with potentials in $\Bbb R^N$},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a254/}
}
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Wu, Mingzhu; Yang, Zuodong. Existence and concentration of solutions for a $p$-Laplace equation with potentials in $\Bbb R^N$. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a254/