On a planar non-autonomous Schrödinger–Poisson system involving exponential critical growth

Author:

Albuquerque F. S.,Carvalho J. L.,Figueiredo G. M.,Medeiros E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference43 articles.

1. Adimurthi, Sandeep, K.: A singular Moser–Trudinger embedding and its applications. Nonlinear Differ. Equ. Appl. 13, 585–603 (2007)

2. Albuquerque, F.S.B., Ferreira, M.C., Severo, U.B.: Ground state solutions for a nonlocal equation in $${\mathbb{R} }^2$$ involving vanishing potentials and exponential critical growth, preprint, (2019). arXiv:org/abs/1911.05707

3. Albuquerque, F.S.B., Alves, C.O., Medeiros, E.S.: Nonlinear Schrödinger equation with unbounded or decaying radial potentials involving exponential critical growth in $${\mathbb{R}}^2$$. J. Math. Anal. Appl. 409, 1021–1031 (2014)

4. Alves, C.O., Figueiredo, G.M.: Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth. J. Math. Phys. 60, 011503 (2019)

5. Ambrosetti, A., Malchiodi, A., Ruiz, D.: Radial solutions concentrating on spheres of NLS with with vanishing potentials. Proc. R. Soc. Edinb. Sect. A 136, 889–907 (2006)

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