3 citations · 4 across the 3 of their papers we have counts for
6 papers
Mild and strong solutions for Hilfer evolution equation
J. Vanterler da C. Sousa, Leandro S. Tavares, E. Capelas de Oliveira
In this paper, we investigate the existence and uniqueness of mild and strong solutions of fractional semilinear evolution equations in the Hilfer sense, by means of Banach fixed p…
Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
Sabri Bahrouni, Hichem Ounaies, Leandro S. Tavares
In this paper, we study the interplay between Orlicz-Sobolev spaces and and fractional Sobolev spaces . More precisely, we give some qualitative properti…
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{…
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.
A sub-supersolution method for a class of nonlocal system involving the p(x)-Laplacian operator and applications
Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro S. Tavares
In the present paper we study the existence of solutions for a class of nonlocal system involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution resu…
An elliptic system with logarithmic nonlinearity
Claudianor O. Alves, Abdelkrim Moussaoui, Leandro da S. Tavares
In the present paper we study the existence of solutions for some classes of singular systems involving the p(x) and q(x) Laplacian operators. The approach is based on bifurcation…