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Renormalized solutions for a \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary conditions and \(L^1\)-data. (English) Zbl 1299.35104

Summary: An existence result of a renormalized solution for the \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary conditions and \(L^1\) data is established.

MSC:

35J20 Variational methods for second-order elliptic equations
35J25 Boundary value problems for second-order elliptic equations
35D30 Weak solutions to PDEs
35B38 Critical points of functionals in context of PDEs (e.g., energy functionals)
35J60 Nonlinear elliptic equations
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