We consider a certain class of quasilinear elliptic equations with a term in the critical growth range. We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.
Publié le : 1998-05-14
Classification:
Quasilinear elliptic equation,
critical growth range,
existence of positive solutions,
bounded and unbounded domains,
35J60,
35D05,
49J35
@article{1049832681,
author = {Gazzola, Filippo},
title = {Positive solutions of critical quasilinear elliptic problems in
general domains},
journal = {Abstr. Appl. Anal.},
volume = {3},
number = {1-2},
year = {1998},
pages = { 65-84},
language = {en},
url = {http://dml.mathdoc.fr/item/1049832681}
}
Gazzola, Filippo. Positive solutions of critical quasilinear elliptic problems in
general domains. Abstr. Appl. Anal., Tome 3 (1998) no. 1-2, pp. 65-84. http://gdmltest.u-ga.fr/item/1049832681/