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On a Nonuniformly Coercive Quasilinear p(·)-Elliptic Neumann Problem with L1 Data

Year: 2026

Type: article

Abstract: This paper studies a quasilinear and nonuniformly coercive elliptic Neumann problem with right hand side in L1(Ω) and boundary data in L1(∂Ω), in the context of Sobolev spaces with variable exponent. We analyze the existence and the uniqueness of renormalized solutions to this problem.

Source: Mathematics

DOI: 10.3390/math14213959

Authors: Hayat Benkhalou, Aymane El Janathi, Hassane Hjiaj, Francisco Ortegón Gallego

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Ministerio de Ciencia, Innovación y Universidades

OpenAlex ID: W7213470051

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