Variational problems 19 Nonlinear boundary conditions 10 Elliptic systems 8 Elliptic equations 4 Laplace transforms 4 Nonlinear equations 4 Behavior of solutions 2 Bilaplacian 2 Boundary conditions 2 Canonical ensemble 2 Dirichlet boundary 2 Discontinuous Galerkin 2 Discontinuous Galerkin FEM 2 Discontinuous Galerkin methods 2 Discontinuous galerkin 2 Elliptic system 2 Fractional-order Sobolev spaces 2 Galerkin methods 2 Image processing 2 Lagrange multipliers 2 Lipschitz constant 2 Mathematical operators 2 Mean energy 2 Minimization 2 Non-variational problem 2 Numerical experiments 2 Numerical methods 2 Optimization 2 P (x)-Laplacian 2 P-Laplacian 2