Free boundaries Nonlinear boundary conditions Minimization Variable exponent spaces p-Laplacian Optimal design problems Optimization Orlicz spaces P (x)-Laplacian Resonance Variational problems Boundary conditions Differentiable functions Differential equations Discontinuous Galerkin Discontinuous Galerkin FEM Discontinuous Galerkin methods Discontinuous galerkin Eigenvalue problems Eigenvalues and eigenfunctions Elliptic equations Elliptic systems Free boundary Free-boundary problems Galerkin methods H2 regularity Image processing Integral equations Laplace transforms Lipschitz continuous