On a p ( x )-Biharmonic Kirchhoff Problem with Logarithmic Nonlinearity

Dongyun Pan and Changmu Chu ()
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Dongyun Pan: School of Science, Kaili University, Kaili 556011, China
Changmu Chu: School of Data Science and Information Engineering, Guizhou Minzu University, Guizhou 550025, China

Mathematics, 2025, vol. 13, issue 18, 1-12

Abstract: This paper is devoted to the study of a class of the p ( x ) -biharmonic Kirchhoff problem with logarithmic nonlinearity. With the help of the mountain pass theorem, the existence of a nontrivial weak solution to this problem is obtained.

Keywords: p ( x )-biharmonic operator; Kirchhoff problem; logarithmic nonlinearity; variable exponent; mountain pass theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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