On some quasilinear elliptic equations with critical Sobolev exponents and non-standard growth conditions
Calotă, Lucia
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 249-256 / Harvested from Project Euclid
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In this paper we study a class of quasilinear elliptic problems involving critical exponents and non-standard growth condition. We establish the existence of at least one nontrivial solution using as main tool Ekeland's variational principle.
Publié le : 2008-05-15
Classification:  quasilinear elliptic equation,  weak solution,  critical Sobolev exponent,  variable exponent Lebesgue space,  35J60,  35J70,  58E05,  35J65 
@article{1210254822,
     author = {Calot\u a, Lucia},
     title = {On some quasilinear elliptic equations with critical Sobolev exponents and
non-standard growth conditions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 249-256},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1210254822}
}

Calotă, Lucia. On some quasilinear elliptic equations with critical Sobolev exponents and
non-standard growth conditions. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  249-256. http://gdmltest.u-ga.fr/item/1210254822/