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^*

^*Corresponding author for this work

Tsinghua University

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

9 Scopus citations

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.

Original language	English
Pages (from-to)	2774-2812
Number of pages	39
Journal	SIAM Journal on Mathematical Analysis
Volume	55
Issue number	4
DOIs	https://doi.org/10.1137/22M1510510
State	Published - Aug 2023
Externally published	Yes

Keywords

classification of solutions
general nonlinearity
method of moving spheres
mixed order
semilinear elliptic system

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10.1137/22M1510510

Cite this

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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",

note = "Publisher Copyright: {\textcopyright} 2023 Society for Industrial and Applied Mathematics.",

year = "2023",

month = aug,

doi = "10.1137/22M1510510",

language = "英语",

volume = "55",

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T1 - CLASSIFICATION OF SOLUTIONS TO MIXED ORDER ELLIPTIC SYSTEM WITH GENERAL NONLINEARITY

AU - Peng, Shaolong

PY - 2023/8

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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

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SN - 0036-1410

VL - 55

SP - 2774

EP - 2812

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

Abstract

Keywords

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