Open Access
May 2008 On some quasilinear elliptic equations with critical Sobolev exponents and non-standard growth conditions
Lucia Calotă
Bull. Belg. Math. Soc. Simon Stevin 15(2): 249-256 (May 2008). DOI: 10.36045/bbms/1210254822

Abstract

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.

Citation

Download Citation

Lucia Calotă. "On some quasilinear elliptic equations with critical Sobolev exponents and non-standard growth conditions." Bull. Belg. Math. Soc. Simon Stevin 15 (2) 249 - 256, May 2008. https://doi.org/10.36045/bbms/1210254822

Information

Published: May 2008
First available in Project Euclid: 8 May 2008

zbMATH: 1157.35039
MathSciNet: MR2424110
Digital Object Identifier: 10.36045/bbms/1210254822

Subjects:
Primary: 35J60 , 35J65 , 35J70 , 58E05

Keywords: critical Sobolev exponent , Quasilinear elliptic equation , variable exponent Lebesgue space , Weak solution

Rights: Copyright © 2008 The Belgian Mathematical Society

Vol.15 • No. 2 • May 2008
Back to Top