Work

Fractional Kirchhoff type equations involving Neumann conditions

Year: 2025

Type: article

Abstract: In this paper, we are interested in approaching a new class of fractional $ s(\xi) $-Kirchhoff equations with Neumann boundary conditions. First, we discuss properties of the fractional $ s(\xi) $-Kirchhoff equation via the Fatou lemma and the Minty-Browder theorem. In this sense, we attack the existence and multiplicity of solutions to the main problem through a variational approach and the theory of the variable exponent $ \psi $ fractional space, under appropriate assumptions on $ f $ and $ \mathcal{M} $ involved in the $ s(\xi) $-Kirchhoff equation. Finally, we discuss the result with concave and convex nonlinearities.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025047

Authors: J. Vanterler da C. Sousa, Kishor D. Kucche, V. Govindaraj, Leandro S. Tavares

Institutions: Shivaji University, National Institute of Technology, Puducherry, Universidade Federal do ABC

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409523032

FWCI: 7.695

Cites: 33

Cited by: 4

Related to: 10