CLASSIFICATION OF SOLUTIONS TO MIXED ORDER ELLIPTIC SYSTEM WITH GENERAL NONLINEARITY

Shaolong Peng

doi:10.1137/22M1510510

CLASSIFICATION OF SOLUTIONS TO MIXED ORDER ELLIPTIC SYSTEM WITH GENERAL NONLINEARITY

Shaolong Peng^*

^*此作品的通讯作者

Tsinghua University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this paper, we consider the mixed order elliptic system (Equation presented) where u ≥ 0, α ∊ (0, 2), v may change signs. We aim to study the classification results of solutions to the above semilinear elliptic system in ℝ². We first derive the equivalence between the above PDE system and the corresponding IE (integral equation) system.

源语言	英语
页（从-至）	2774-2812
页数	39
期刊	SIAM Journal on Mathematical Analysis
卷	55
期	4
DOI	https://doi.org/10.1137/22M1510510
出版状态	已出版 - 8月 2023
已对外发布	是

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title = "CLASSIFICATION OF SOLUTIONS TO MIXED ORDER ELLIPTIC SYSTEM WITH GENERAL NONLINEARITY",

abstract = "In this paper, we consider the mixed order elliptic system (Equation presented) where u ≥ 0, α ∊ (0, 2), v may change signs. We aim to study the classification results of solutions to the above semilinear elliptic system in ℝ2. We first derive the equivalence between the above PDE system and the corresponding IE (integral equation) system.",

keywords = "classification of solutions, general nonlinearity, method of moving spheres, mixed order, semilinear elliptic system",

author = "Shaolong Peng",

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AB - In this paper, we consider the mixed order elliptic system (Equation presented) where u ≥ 0, α ∊ (0, 2), v may change signs. We aim to study the classification results of solutions to the above semilinear elliptic system in ℝ2. We first derive the equivalence between the above PDE system and the corresponding IE (integral equation) system.

KW - classification of solutions

KW - general nonlinearity

KW - method of moving spheres

KW - mixed order

KW - semilinear elliptic system

UR - https://www.scopus.com/pages/publications/85166153967

U2 - 10.1137/22M1510510

DO - 10.1137/22M1510510

M3 - 文章

AN - SCOPUS:85166153967

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 4

ER -

CLASSIFICATION OF SOLUTIONS TO MIXED ORDER ELLIPTIC SYSTEM WITH GENERAL NONLINEARITY

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