arXiv subjects

Leandro da S. Tavares

Publications and source records attributed to Leandro da S. Tavares.

3 recordsLinked to original sources

arXiv2017

A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent

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 for a class of Choquard equations involving the $p(x)$-Laplacian operator.

math.AP↗

arXiv2017

A sub-super solution method for a class of nonlocal problems involving the p(x)-Laplacian operator and applications

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

math.AP↗

arXiv2017

An elliptic system with logarithmic nonlinearity

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 theory and subsupersolution method for systems of quasilinear equations involving singular terms.

math.AP↗