EXISTENCE OF SIGN-CHANGING RADIAL SOLUTIONS WITH PRESCRIBED NUMBERS OF ZEROS FOR ELLIPTIC EQUATIONS WITH THE CRITICAL EXPONENTIAL GROWTH IN R2

Lu Chen; Ying Xue; Maochun Zhu

doi:10.1090/proc/16617

EXISTENCE OF SIGN-CHANGING RADIAL SOLUTIONS WITH PRESCRIBED NUMBERS OF ZEROS FOR ELLIPTIC EQUATIONS WITH THE CRITICAL EXPONENTIAL GROWTH IN R²

Lu Chen
, Ying Xue
, Maochun Zhu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we are concerned with the existence of sign-changing radial solutions with any prescribed numbers of zeros to the following Schrodinger equation with the critical exponential growth: (Formula Presented). seems to be the first existence result of sign-changing solution for Schrodinger equation with the critical exponential growth.

Original language	English
Pages (from-to)	1181-1189
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	152
Issue number	3
DOIs	https://doi.org/10.1090/proc/16617
Publication status	Published - 1 Mar 2024

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title = "EXISTENCE OF SIGN-CHANGING RADIAL SOLUTIONS WITH PRESCRIBED NUMBERS OF ZEROS FOR ELLIPTIC EQUATIONS WITH THE CRITICAL EXPONENTIAL GROWTH IN R2",

abstract = "In this paper, we are concerned with the existence of sign-changing radial solutions with any prescribed numbers of zeros to the following Schrodinger equation with the critical exponential growth: (Formula Presented). seems to be the first existence result of sign-changing solution for Schrodinger equation with the critical exponential growth.",

author = "Lu Chen and Ying Xue and Maochun Zhu",

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AU - Zhu, Maochun

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AB - In this paper, we are concerned with the existence of sign-changing radial solutions with any prescribed numbers of zeros to the following Schrodinger equation with the critical exponential growth: (Formula Presented). seems to be the first existence result of sign-changing solution for Schrodinger equation with the critical exponential growth.

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EXISTENCE OF SIGN-CHANGING RADIAL SOLUTIONS WITH PRESCRIBED NUMBERS OF ZEROS FOR ELLIPTIC EQUATIONS WITH THE CRITICAL EXPONENTIAL GROWTH IN R²

Abstract

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