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math.AP2019★ 1 cited
Multiplicity and concentration results for a magnetic Schrödinger equation with exponential critical growth in
Pietro d'Avenia, Chao Ji
In this paper we study the following nonlinear Schrödinger equation with magnetic field \[ \Big(\frac{\varepsilon}{i}\nabla-A(x)\Big)^{2}u+V(x)u=f(| u|^{2})u,\quad x\in\mathbb{R}^{…
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…