... acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon. Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary ... [33–37], and for the p(x)-Laplacian with non-linear boundary conditions see [38–40]. Motivated by above, we focus the case of nonlocal p(x)-Laplacian problems with nonlinear Neumann boundary ... and nonlinear boundary condition. Nonlinear Anal. 71, 2447–2455 (2009)[38] Deng, SG, Wang, Q: Nonexistence, existence and multiplicity of positive so-lutions to the p(x)-Laplacian nonlinear Neumann...