4 papers
Infinitely many sign-changing solutions of a critical fractional equation
Emerson Abreu, Ezequiel Barbosa, Joel Cruz Ramirez
In this paper, we obtain nonexistence results of positive solutions, and also the existence of an unbounded sequence of solutions that changing sign for some critical problems invo…
Uniqueness for the Brezis-Nirenberg type problems on spheres and hemispheres
Emerson Abreu, Ezequiel Barbosa, Joel Ramirez
In this work, we develop a study involving some nonlinear partial differential equations on spheres and hemispheres, with the zero Neumann boundary condition, which are so-called B…
Local behaviour and existence of solutions of the fractional (p,q)-Laplacian
Emerson Abreu, A. H. Souza Medeiros
In this paper, we consider the regularity of weak solutions (in an appropriate space) to the elliptic partial differential equation \begin{equation*} (-Δ_{p})^{s} u + (-Δ_{q})^{s}…
On a weighted Trudinger-Moser inequality in
Emerson Abreu, Leandro G. Fernandes
We establish the Trudinger-Moser inequality on weighted Sobolev spaces in the whole space, and for a class of quasilinear elliptic operators in radial form of the type $\displaysty…