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math.AP2018★ 2 cited
A minimum problem with free boundary and subcritical growth in Orlicz spaces
Jun Zheng, Leandro S. Tavares, Claudianor O. Alves
The aim of this paper is to study the heterogeneous optimization problem \begin{align*} \mathcal {J}(u)=\int_Ω(G(|\nabla u|)+qF(u^+)+hu+λ_{+}χ_{\{u>0\}} )\text{d}x\rightarrow\text{…
math.AP2018
A sub-supersolution approach for some classes of nonlocal problems involving Orlicz spaces
Giovany M. Figueiredo, Abdelkrim Moussaoui, Gelson C. G. dos Santos +1
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.