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math.DG2019★ 1 cited
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…
math.DG2019
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…