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math.AP2019
Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials
Antonio Azzollini, Alessio Pomponio
In this paper we prove the existence of a positive energy static solution for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potential…
math.AP2019
Oscillating solutions for nonlinear equations involving the Pucci's extremal operators
Pietro d'Avenia, Alessio Pomponio
This paper deals with the following nonlinear equations \[ \mathcal{M}_{λ,Λ}^\pm(D^2 u)+g(u)=0 \qquad \hbox{ in }\mathbb{R}^N, \] where are the Pucci's extr…