Work

Existence of multiple weak solutions for a class of fractional boundary value problems with Laplace operator

Year: 2025

Type: article

Abstract: This paper investigates the existence of multiple weak solutions for a class of fractional boundary value problems that not only involve fractional derivatives with respect to time but also include the Laplace operator in spatial variables. By employing variational methods and critical point theory, this study constructs a derivative space that includes both time and spatial variables, which is different from previous constructions that focused only on time. The results demonstrate the existence of at least three weak solutions, or even infinitely many weak solutions, under certain assumptions on the nonhomogeneous term.

Source: Journal of Elliptic and Parabolic Equations

DOI: 10.1007/s41808-025-00338-3

Author: Pu Wang

Institution: Xiangtan University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

OpenAlex ID: W4410188826