Skip to content

Jian Liu, Zengqin Zhao, Khaled Kefi, Kirchhoff type p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions

Full Text: PDF
DOI: 10.23952/jnva.9.2025.3.05

Volume 9, Issue 3, 1 June 2025, Pages 397-412

 

Abstract. In this paper, we investigate fourth order variable exponent Kirchhoff type p(x)-biharmonic equations involving constant exponent and variable exponent Hardy potentials, in which the r(x)-Hardy potentials are seldom mentioned in previous results. We show the existence of at least one or two distinct generalized solutions via variational methods and the theory of variable exponent Sobolev spaces when the Kirchhoff function and the nonlinear term satisfy appropriate assumptions.

 

How to Cite this Article:
J. Liu, Z. Zhao, K. Kefi, Kirchhoff type p(x)-biharmonic equations involving (h,r(x))-Hardy singular coefficients with no-flux boundary conditions, J. Nonlinear Var. Anal. 9 (2025), 397-412.