Schrödinger equations in $\mathbb{R}^4$ involving the biharmonic operator with critical exponential growth

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj.2021.51.243 ◽

2021 ◽

Vol 51 (1) ◽

Author(s):

Olimpio H. Miyagaki ◽

Cláudia R. Santana ◽

Rônei S. Vieira

Keyword(s):

Exponential Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Biharmonic Operator ◽

Critical Exponential Growth

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Ground state solutions for planar coupled system involving nonlinear Schrödinger equations with critical exponential growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7335 ◽

2021 ◽

Author(s):

Jiuyang Wei ◽

Xiaoyan Lin ◽

Xianhua Tang

Keyword(s):

Ground State ◽

Exponential Growth ◽

Coupled System ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Critical Exponential Growth

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Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5905 ◽

2019 ◽

Vol 43 (2) ◽

pp. 536-551

Author(s):

Liejun Shen

Keyword(s):

Ground State ◽

Exponential Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Critical Exponential Growth

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Asymptotically periodic quasilinear Schrödinger equations with critical exponential growth

Journal of Mathematical Physics ◽

10.1063/5.0053794 ◽

2021 ◽

Vol 62 (11) ◽

pp. 111509

Author(s):

Uberlandio B. Severo ◽

Diogo de S. Germano

Keyword(s):

Exponential Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Periodic ◽

Critical Exponential Growth

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On coupled systems of nonlinear Schrödinger equations with critical exponential growth

Applicable Analysis ◽

10.1080/00036811.2017.1296951 ◽

2017 ◽

Vol 97 (6) ◽

pp. 1000-1015 ◽

Author(s):

J. M. do Ó ◽

J. C. de Albuquerque

Keyword(s):

Exponential Growth ◽

Nonlinear Schrödinger Equations ◽

Coupled Systems ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Critical Exponential Growth

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Existence and Concentrate Behavior of Schrödinger equations with critical exponential growth in $\mathbb{R}^N$

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2016.058 ◽

2016 ◽

Vol 48 (1) ◽

pp. 1

Author(s):

Jian Zhang ◽

Wenming Zou

Keyword(s):

Exponential Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Exponential Growth

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Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth

Advances in Operator Theory ◽

10.15352/aot.1709-1227 ◽

2018 ◽

Vol 3 (3) ◽

pp. 551-581 ◽

Author(s):

Hanen Hezzi

Keyword(s):

Exponential Growth ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Critical Exponential Growth ◽

Coupled Nonlinear Schrodinger Equations

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Quasilinear Schrödinger equations with singular and vanishing potentials involving nonlinearities with critical exponential growth

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2020.024 ◽

2021 ◽

pp. 1

Author(s):

Yane Lísley Araújo ◽

Gilson Carvalho ◽

Rodrigo Clemente

Keyword(s):

Exponential Growth ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Exponential Growth ◽

Vanishing Potentials

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Positive ground state of coupled systems of Schrödinger equations in R2 involving critical exponential growth

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4498 ◽

2017 ◽

Vol 40 (18) ◽

pp. 6864-6879 ◽

Author(s):

João Marcos do Ó ◽

José Carlos de Albuquerque

Keyword(s):

Ground State ◽

Exponential Growth ◽

Coupled Systems ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Exponential Growth

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Energy scattering theory for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2006.05.010 ◽

2006 ◽

Vol 228 (1) ◽

pp. 311-338 ◽

Author(s):

Baoxiang Wang ◽

Chengchun Hao ◽

Henryk Hudzik

Keyword(s):

Exponential Growth ◽

Scattering Theory ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Energy Scattering ◽

Nonlinear Schrodinger Equations ◽

Spatial Dimensions

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New existence results on planar quasilinear Schrödinger equations with subcritical exponential growth

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107801 ◽

2021 ◽

pp. 107801

Author(s):

Tian-Fang Wang ◽

Jianhua Chen

Keyword(s):

Exponential Growth ◽

Existence Results ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Subcritical Exponential Growth

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