Geodesic
Existence and nonexistence results for quasilinear elliptic equations involving the $p$-Laplacian
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 445-484

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The paper deals with the study of a quasilinear elliptic equation involving the p-laplacian with a Hardy-type singular potential and a critical nonlinearity. Existence and nonexistence results are first proved for the equation with a concave singular term. Then we study the critical case related to Hardy inequality, providing a description of the behavior of radial solutions of the limiting problem and obtaining existence and multiplicity results for perturbed problems through variational and topological arguments. 
@article{BUMI_2006_8_9B_2_a10,
     author = {Abdellaoui, Boumediene and Felli, Veronica and Peral, Ireneo},
     title = {Existence and nonexistence results for quasilinear elliptic equations involving the $p${-Laplacian}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {445--484},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {2},
     year = {2006},
     zbl = {1118.35010},
     mrnumber = {MR2233146},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a10/}
}
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Abdellaoui, Boumediene; Felli, Veronica; Peral, Ireneo. Existence and nonexistence results for quasilinear elliptic equations involving the $p$-Laplacian. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 2, pp. 445-484. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_2_a10/