A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces

2018/04/21 by Figueiredo, Giovany M., Moussaoui, Abdelkrim, Santos, Gelson C. G. dos +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.07977

Abstract

In the present paper we study the existence of solutions for some nonlocal problems involving Orlicz-Sobolev spaces. The approach is based on sub-supersolutions.

Related

• Existence of solution for a class of nonlocal elliptic problem via\n sub-supersolution method
• A sub-super solution method for a class of nonlocal problems involving the p(x)-Laplacian operator and applications
• Supersolutions and superharmonic functions for nonlocal operators with Orlicz growth
• A sub-supersolution method for a class of nonlocal system involving the p(x)-Laplacian operator and applications
• Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz- Sobolev spaces