3 citations · 8 across the 9 of their papers we have counts for
11 papers
A minimum problem associated with scalar Ginzburg-Landau equation and free boundary
Yuwei Hu, Jun Zheng, Leandro S. Tavares
Let , , and be an open bounded domain in . We consider the minimum problem $$ \mathcal{J} (u) := \displaystyle\int_…
Existence of solutions for a singular double phase problem involving a -Hilfer Fractional operator via Nehari Manifold
J. Vanterler da C. Sousa, Karla B. Lima, Leandro S. Tavares
In this present paper, we investigate a new class of singular double phase -Laplacian equation problems with a -Hilfer fractional operator combined from a parametric term. Mo…
A weighted fractional problem involving a singular nonlinearity and a data
Akasmika Panda, Debajyoti Choudhuri, Leandro S. Tavares
In this article, we show the existence of a unique entropy solution to the following problem: \begin{equation} \begin{split} (-Δ)_{p,α}^su&= f(x)h(u)+g(x) ~\text{in}~Ω,\\ u&>0~\tex…
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…
A sub-super solution method for a class of nonlocal problems involving the p(x)-Laplacian operator and applications
Gelson C. G. dos Santos, Giovany M. Figueiredo, Leandro da S. Tavares
In the present paper we study the existence of solutions for some nonlocal problems involving the p(x)-Laplacian operator. The approach is based on a new sub-supersolution method
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…
A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
Claudianor O. Alves, Leandro da S. Tavares
In this work, we have proved a version of the Hardy-Littlewood-Sobolev inequality for variable exponents. After we use the variational method to establish the existence of solution…