Stationary Schrödinger equations in ℝ2 with unbounded or vanishing potentials and involving concave nonlinearities

DOI10.1080/17476933.2017.1313839zbMath1455.35063OpenAlexW2618175494MaRDI QIDQ5374197

Uberlandio B. Severo, Francisco S. B. Albuquerque

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1313839

zbMATH Keywords

nonlinear Schrödinger equationTrudinger-Moser inequalityconcave termsunbounded or decaying radial potentials

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Schrödinger equations in \(\mathbb{R}^2\) with critical exponential growth and concave nonlinearities ⋮ On concave perturbations of a periodic elliptic problem in R2 involving critical exponential growth ⋮ Adams' type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in \( \mathbb{R}^4 \) ⋮ On a critical exponential \(p \& N\) equation type: existence and concentration of changing solutions

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