Effects of nonlocal source terms on Kirchhoff-type double phase equations with variable exponents: Existence of three distinct solutions

doi:10.2989/16073606.2026.2624507

Effects of nonlocal source terms on Kirchhoff-type double phase equations with variable exponents: Existence of three distinct solutions

2026-02-01

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DOI：10.2989/16073606.2026.2624507

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This paper investigates a class of Kirchhoff-type double phase problems distinguished by the inclusion of two nonlocal source terms and formulated in the framework of variable exponent Sobolev spaces. By applying a variant of Bonanno's critical point theorem [12], we establish the existence of at least three distinct solutions. These results not only enhance the current understanding of double phase equations exhibiting sublinear growth but also extend several recent developments by incorporating variable exponents and nonlocal effects into the analysis.

Keywords:

Kirchhoff-type double phase problems

nonlocal source terms

variable exponents

Musielak-Orlicz Sobolev spaces

critical point theory

Effects of nonlocal source terms on Kirchhoff-type double phase equations with variable exponents: Existence of three distinct solutions

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