DOI: 10.3390/math14213959 ISSN: 2227-7390

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

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

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.

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