Bounded solutions of unilateral problems for strongly nonlinear equations in Orlicz spaces

Electronic Journal of Qualitative Theory of Differential Equations

A. Benkirane¹  Mostafa El Moumni¹  Ahmed Youssfi² 

[1] Department of Mathematics, University Sidi Mohamed Ben Abdellah, Fez, Morocco;University Sidi Mohamed Ben Abdellah, National School of Applied Sciences, Laboratory of Engineering, Systems and Applications, P.O. Box 72-Principale, Fès, Morocco;

关键词: orlicz-sobolev spaces;    unilateral problems;    $l^{\infty}$-estimates;    rearrangements;   

DOI  :  10.14232/ejqtde.2013.1.21

来源: DOAJ

【 摘 要 】

In this paper, we prove the existence of bounded solutions of unilateral problems for strongly nonlinear equations whose principal part having a growth not necessarily of polynomial type and a degenerate coercivity, the lower order terms do not satisfy the sign condition and appropriate integrable source terms. We do not impose the $\Delta_2$-condition on the considered$N$-functions defining the Orlicz-Sobolev functional framework.

【 授权许可】

Unknown