Multiple positive solutions to a <i>p</i> -Kirchhoff equation with logarithmic terms and concave terms

Abstract In this article, we focus on a class of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>p</m:mi> </m:math> p -Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.

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Journal
Open Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1515/math-2025-0183
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Multiple positive solutions to a p -Kirchhoff equation with logarithmic terms and concave terms

Jian Liang, Yue Wang, Ranran Wang
Open Mathematics
Nonlinear Partial Differential Equations
article

Multiple positive solutions to a p -Kirchhoff equation with logarithmic terms and concave terms

Jian Liang, Yue Wang, Ranran Wang
article en

Abstract

Abstract In this article, we focus on a class of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>p</m:mi> </m:math> p -Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.

Open MathematicsVol. 23(1)
Guizhou Minzu University (CN), Qiannan Normal College For Nationalities (CN)
Openalex Percentile: Top 69%
Nonlinear Partial Differential Equations
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