On a Nonuniformly Coercive Quasilinear p(·)-Elliptic Neumann Problem with L1 Data
Abstract
This paper studies a quasilinear and nonuniformly coercive elliptic Neumann problem with both right hand sides in $L^1(\Omega)$ (PDE) and boundary data in $L^1(\partial\Omega)$, 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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