EXISTENCE RESULTS OF A SCHROɄINGER EQUATION INVOLVING A NONLINEAR OPERATOR

Yan Sun

doi:10.11948/20200207

2021 Volume 11 Issue 4

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Yan Sun. EXISTENCE RESULTS OF A SCHROɄINGER EQUATION INVOLVING A NONLINEAR OPERATOR[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1802-1810. doi: 10.11948/20200207

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Yan Sun. EXISTENCE RESULTS OF A SCHROɄINGER EQUATION INVOLVING A NONLINEAR OPERATOR[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1802-1810. doi: 10.11948/20200207

EXISTENCE RESULTS OF A SCHROɄINGER EQUATION INVOLVING A NONLINEAR OPERATOR

Yan Sun^1, ,

1.
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

Corresponding author: Email: ysun@shnu.edu.cn; ysun881@163.com
Fund Project: The authors were supported by National Natural Science Foundation of China (11371095) and National Science Foundation of Shanghai (13ZR1430100)

Abstract

Abstract

In this article, by making use of a completely different approach, i. e. monotone operator theory and analysis techniques, we present the existence of positive solutions for a nonlinear Schroɤinger equations in a unique way under reasonable conditions. Moreover, illustrative examples are also presented.
- Nonlinear Schröger equation /
- nondecreasing operator /
- positive solution /
- existence, monotonicity
MSC: 34B16, 34B15, 34B25, 34B18

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