Work

Weak solutions to degenerate p ( t )-Laplacian elliptic equations involving ( q, r ( t )) double phase Hardy terms

Year: 2026

Type: article

Abstract: This paper is devoted to establishing novel existence criteria for weak solutions to a class of weighted quasilinear degenerate elliptic equations featuring double phase Hardy-type singular coefficients. These types of problems are rarely discussed in variable exponent Sobolev spaces in previous work. We prove the existence of at least one and at least two weak solutions via variational methods and critical point theory, under appropriate assumptions on the weight function and the nonlinearity.

Source: Mathematical Modelling and Analysis

DOI: 10.3846/mma.2026.24048

Authors: Lili Qi, Jian Liu, Khaled Kefi

Institutions: Yanshan College Shandong University of Finance and Economics, Shandong University of Finance and Economics, Northern Border University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Northern Border University

OpenAlex ID: W7125200725

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Cites: 23

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