On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Tiantian Qiao; Weiguo Li; Kai Liu; Boying Wu

doi:10.4064/ap110-1-3

On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Tiantian Qiao^*
, Weiguo Li
, Kai Liu
, Boying Wu

^*Corresponding author for this work

School of Mathematics

China University of Petroleum (East China)
Harbin Institute of Technology
Nanjing University

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

Abstract

The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

Original language	English
Pages (from-to)	25-32
Number of pages	8
Journal	Annales Polonici Mathematici
Volume	110
Issue number	1
DOIs	https://doi.org/10.4064/ap110-1-3
State	Published - 2014

Keywords

Elliptic system
Existence
PDE
Resonance
Unique

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title = "On existence of a unique generalized solution to systems of elliptic PDEs at resonance",

abstract = "The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.",

keywords = "Elliptic system, Existence, PDE, Resonance, Unique",

author = "Tiantian Qiao and Weiguo Li and Kai Liu and Boying Wu",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2014.",

year = "2014",

doi = "10.4064/ap110-1-3",

language = "英语",

volume = "110",

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T1 - On existence of a unique generalized solution to systems of elliptic PDEs at resonance

AU - Qiao, Tiantian

AU - Li, Weiguo

AU - Liu, Kai

AU - Wu, Boying

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2014.

PY - 2014

Y1 - 2014

N2 - The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

AB - The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

KW - Elliptic system

KW - Existence

KW - PDE

KW - Resonance

KW - Unique

UR - https://www.scopus.com/pages/publications/84907244813

U2 - 10.4064/ap110-1-3

DO - 10.4064/ap110-1-3

M3 - 文章

AN - SCOPUS:84907244813

SN - 0066-2216

VL - 110

SP - 25

EP - 32

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 1

ER -

On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Abstract

Keywords

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