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math.AP2018
On the structure of positive solutions for a class of quasilinear equations
Willian Cintra, Everaldo Medeiros, Uberlandio Severo
This paper studies the existence, nonexistence and uniqueness of positive solutions for a class of quasilinear equations. We also analyze the behavior of this solutions with respec…
math.AP2018
Multiplicity of positive solutions for a quasilinear Schrödinger equation with an almost critical nonlinearity
Giovany M. Figueiredo, Uberlandio B. Severo, Gaetano Siciliano
In this paper we prove an existence result of multiple positive solutions for the following quasilinear problem \begin{equation*} \left\{ \begin{array}[c]{ll} -Δu - Δ(u^2)u = |u|^{…