# Existence and nonexistence results for quasilinear elliptic equations involving the $p$-Laplacian

Boumediene Abdellaoui; Veronica Felli; Ireneo Peral

Bollettino dell'Unione Matematica Italiana (2006)

- Volume: 9-B, Issue: 2, page 445-484
- ISSN: 0392-4033

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topAbdellaoui, Boumediene, Felli, Veronica, and Peral, Ireneo. "Existence and nonexistence results for quasilinear elliptic equations involving the $p$-Laplacian." Bollettino dell'Unione Matematica Italiana 9-B.2 (2006): 445-484. <http://eudml.org/doc/289600>.

@article{Abdellaoui2006,

abstract = {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.},

author = {Abdellaoui, Boumediene, Felli, Veronica, Peral, Ireneo},

journal = {Bollettino dell'Unione Matematica Italiana},

language = {eng},

month = {6},

number = {2},

pages = {445-484},

publisher = {Unione Matematica Italiana},

title = {Existence and nonexistence results for quasilinear elliptic equations involving the $p$-Laplacian},

url = {http://eudml.org/doc/289600},

volume = {9-B},

year = {2006},

}

TY - JOUR

AU - Abdellaoui, Boumediene

AU - Felli, Veronica

AU - Peral, Ireneo

TI - Existence and nonexistence results for quasilinear elliptic equations involving the $p$-Laplacian

JO - Bollettino dell'Unione Matematica Italiana

DA - 2006/6//

PB - Unione Matematica Italiana

VL - 9-B

IS - 2

SP - 445

EP - 484

AB - 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.

LA - eng

UR - http://eudml.org/doc/289600

ER -

## References

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