Ricardo Lima Alves
Published 2019-12-20Version 1
In this paper we consider the existence of positive solutions for a singular elliptic problem involving an asymtotically linear nonlinearity and depending on one positive parameter. Using variational methods, together with comparison techniques, we show the existence, uniqueness, non-existence and regularity of the solutions. We also obtain a bifurcation-type result.
Existence of positive solution of the Choquard equation $-Δ u+a(x)u=(I_μ*|u|^{2^{*}_μ})|u|^{2^{*}_μ-2}u$ in $\mathbb{R}^N$
Infinitely many positive solutions of a Gross-Pitaevskii equation in the presence of a harmonic potential and combined nonlinearities
Qualitative properties of positive solutions of quasilinear equations with Hardy terms
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