Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities

Xiaowei An; Huixia He; Xianfa Song

doi:10.1063/5.0091269

Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities

Xiaowei An
, Huixia He^*
, Xianfa Song

^*Corresponding author for this work

School of Mathematical Sciences

China People’s Police University
Tianjin University

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

Abstract

In this study, we study the solution of a semilinear elliptic equation with nonlocal nonlinearities. By using the mountain pass theorem, H o ̈ lder’s inequality, and Sobolev embedding theorem, we obtain the existence result, establish the Liouville type theorem, and consider Morse indices of the equation.

Original language	English
Article number	051501
Journal	Journal of Mathematical Physics
Volume	64
Issue number	5
DOIs	https://doi.org/10.1063/5.0091269
State	Published - 1 May 2023

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10.1063/5.0091269

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title = "Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities",

abstract = "In this study, we study the solution of a semilinear elliptic equation with nonlocal nonlinearities. By using the mountain pass theorem, H o{\" } lder{\textquoteright}s inequality, and Sobolev embedding theorem, we obtain the existence result, establish the Liouville type theorem, and consider Morse indices of the equation.",

author = "Xiaowei An and Huixia He and Xianfa Song",

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AU - An, Xiaowei

AU - He, Huixia

AU - Song, Xianfa

PY - 2023/5/1

Y1 - 2023/5/1

N2 - In this study, we study the solution of a semilinear elliptic equation with nonlocal nonlinearities. By using the mountain pass theorem, H o ̈ lder’s inequality, and Sobolev embedding theorem, we obtain the existence result, establish the Liouville type theorem, and consider Morse indices of the equation.

AB - In this study, we study the solution of a semilinear elliptic equation with nonlocal nonlinearities. By using the mountain pass theorem, H o ̈ lder’s inequality, and Sobolev embedding theorem, we obtain the existence result, establish the Liouville type theorem, and consider Morse indices of the equation.

UR - https://www.scopus.com/pages/publications/85158887927

U2 - 10.1063/5.0091269

DO - 10.1063/5.0091269

M3 - 文章

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VL - 64

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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M1 - 051501

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Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities

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