Work

Positive solutions for semipositon Φ -Laplacian involving nonlocal term in Orlicz–Sobolev space

Year: 2025

Type: article

Abstract: This paper establishes the existence of positive weak solutions for a class of semipositone Kirchhoff-type problems involving nonlocal operators and anisotropic Φ -Laplacians. By combining variational methods with careful asymptotic analysis, we prove that for sufficiently small a > 0 , the problem admits a positive solution. Our results extend previous work on semipositone problems to the nonlocal Kirchhoff setting, overcoming challenges arising from the interplay between the nonlocal term and the indefinite nonlinearity.

Source: Electronic journal of qualitative theory of differential equations

DOI: 10.14232/ejqtde.2025.1.56

Authors: Abdolrahman Razani, Giovany Figueiredo

Institutions: Imam Khomeini International University, Universidade de Brasília

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Institute for Research in Fundamental Sciences

Award: G2627714729