具有指数非线性的准线性薛定谔方程的解的存在性

Pub Date : 2024-02-05 DOI:10.58997/ejde.2024.14

U. Severo, Bruno H. C. Ribeiro, Diogo de S. Germano

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引用次数: 0

摘要

在本文中，我们研究了平面内准线性薛定谔方程的解的存在性，该方程涉及一个可以改变符号的势和一个可能不连续并呈现指数临界增长的非线性项。为了证明我们的存在性结果，我们将特鲁丁格-莫泽不等式与定点定理相结合。更多信息，请参见 https://ejde.math.txstate.edu/Volumes/2024/14/abstr.html。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence of solutions to quasilinear Schrodinger equations with exponential nonlinearity

In this article we study the existence of solutions to quasilinear Schrodinger equations in the plane, involving a potential that can change sign and a nonlinear term that may be discontinuous and exhibit exponential critical growth. To prove our existence result, we combine the Trudinger-Moser inequality with a fixed point theorem. For mote information see https://ejde.math.txstate.edu/Volumes/2024/14/abstr.html

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