Stationary Schrodinger equations in R-2 with unbounded or vanishing potentials and involving concave nonlinearities

Albuquerque Francisco S. B.; Severo Uberlandio B.

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Stationary Schrodinger equations in R-2 with unbounded or vanishing potentials and involving concave nonlinearities

机译：R-2的固定式Schrodinger方程，具有无限性或消失的潜力，涉及凹形非线性

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摘要

We study the existence and multiplicity of solutions for the following class of stationary nonlinear Schrodinger equations:

机译：我们研究了以下静止非线性Schrodinger方程的存在和多种解决方案：

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来源
《Complex variables and elliptic equations》 |2018年第4期|共23页
作者
Albuquerque Francisco S. B.; Severo Uberlandio B.;
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作者单位

Univ Estadual Paraiba Dept Matemat Campina Grande Brazil;

Univ Fed Paraiba Dept Matemat Joao Pessoa Paraiba Brazil;

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原文格式 PDF
正文语种 eng
中图分类复分析、复变函数;
关键词
Nonlinear Schrodinger equation; unbounded or decaying radial potentials; concave terms; Trudinger-Moser inequality;

机译：非线性Schrodinger方程式;无界或腐烂的径向电位;凹形术语;Trudinger-Moser不等式;

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专利

1. 具有耗散项的非线性Schrodinger方程的精确包络波解 [J] . 潘祖梁, 郑克杰, 杨清健高校应用数学学报：英文版 . 1994,第004期
2. Stationary Schrodinger equations in R-2 with unbounded or vanishing potentials and involving concave nonlinearities [J] . Albuquerque Francisco S. B., Severo Uberlandio B. Complex variables and elliptic equations . 2018,第1a4期

机译：R-2的固定式Schrodinger方程，具有无限性或消失的潜力，涉及凹形非线性
3. Semi-Classical Bound States for Schrodinger Equations with Potentials Vanishing or Unbounded at Infinity [J] . Cao DM, Peng SJ Communications in Partial Differential Equations . 2009,第10a12期

机译：无限大时势为零或无穷大的薛定inger方程的半经典束缚态
4. NONLINEAR SCHRODINGER EQUATIONS WITH SUM OF PERIODIC AND VANISHING POTENTIALS AND SIGN-CHANGING NONLINEARITIES [J] . Bieganowski Bartosz, Mederski Jaroslaw Communications on pure and applied analysis . 2018,第1期

机译：非线性Schrodinger方程，具有周期性和消失的潜力和签收的非线性之和
5. New rational solutions of Veselov-Novikov equation and new exact rational potentials of two-dimensional stationary Schrodinger equation via /spl part//sup ~/-dressing method [C] . Dubrovsky, V.G., Formusatik, . 2005

机译：Veselov-Novikov方程的新有理解和二维平稳Schrodinger方程的新精确有理势通过/ spl part // sup〜/ -dressing方法
6. Asymptotic dynamics of trapped solitons of nonlinear Schrodinger equations with potentials. [D] . Zhou, Gang. 2007

机译：带电势的非线性薛定inger方程的孤立孤子的渐近动力学。
7. On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities [O] . Elena Kopylova -1

机译：集中非线性波动方程对平稳状态的整体吸引
8. Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities [O] . Klein, Pauline, Antoine, Xavier, Besse, Christophe, 2011

机译：具有无穷大势能和非线性的N维平稳Schrödinger方程的吸收边界条件
9. COMPUTER SIMULATION OF DYNAMICS OF STKONG-NONLINEAR PHENOMENA DESCRIBED BY THE SCHRODINGER EQUATION WITH THE SELFCONSISTENT POTENTIAL [R] . V. G. Makhankov, I. L. Bogolubsky, Kh. O. Abdulloev 1974

机译：具有自感势的薛定谔方程描述的非线性现象动力学的计算机模拟

Stationary Schrodinger equations in R-2 with unbounded or vanishing potentials and involving concave nonlinearities

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