Weak/stable solutions to <i>p</i>-Kirchhoff equation: Only-zero or non-existence

This paper figures out some natural conditions for a weak/stable solution of the p-Kirchhoff equation −a+b‖∇u‖ppΔpu(x)=fα(|x|)g(u(x)), x∈RN, to be either only-zero or non-existent.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2024-09-01
DOI
https://doi.org/10.1063/5.0215319
Citations
1
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.97

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article

Weak/stable solutions to p-Kirchhoff equation: Only-zero or non-existence

Weiyang Li, Yuhua Sun, Jie Xiao
1 citations
Journal of Mathematical Physics
Nonlinear Partial Differential Equations
0.97
article

Weak/stable solutions to p-Kirchhoff equation: Only-zero or non-existence

Weiyang Li, Yuhua Sun, Jie Xiao
article en
1 citations

Abstract

This paper figures out some natural conditions for a weak/stable solution of the p-Kirchhoff equation −a+b‖∇u‖ppΔpu(x)=fα(|x|)g(u(x)), x∈RN, to be either only-zero or non-existent.

Journal of Mathematical PhysicsVol. 65(9)
Memorial University of Newfoundland (CA), Nankai University (CN)
National Natural Science Foundation of China, China Scholarship Council, Natural Sciences and Engineering Research Council of Canada
Openalex Percentile: Top 25%
Nonlinear Partial Differential Equations
0.97
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