Elhoussine, Azroul; Abdelkrim, Barbara; Badr, Benboubker Mohamed; Stanislas, Ouaro Renormalized solutions for a \(p(x)\)-Laplacian equation with Neumann nonhomogeneous boundary conditions and \(L^1\)-data. (English) Zbl 1299.35104 An. Univ. Craiova, Ser. Mat. Inf. 40, No. 1, 9-22 (2013). 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. Cited in 10 Documents 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 Keywords:generalized Sobolev spaces; Neumann boundary conditions; renormalized solutions PDFBibTeX XMLCite \textit{A. Elhoussine} et al., An. Univ. Craiova, Ser. Mat. Inf. 40, No. 1, 9--22 (2013; Zbl 1299.35104)