1. Introduction.- 2. Variational problems with linear growth: the general setting.- 3. Variational integrands with ($,\mu ,q$)-growth.- 4. Variational problems with linear growth: the case of $\mu $-elliptic integrands.- 5. Bounded solutions for convex variational problems with a wide range of anisotropy.- 6. Anisotropic linear/superlinear growth in the scalar case.- A. Some remarks on relaxation.- B. Some density results.- C. Brief comments on steady states of generalized Newtonian fluids.- D. Notation and conventions.- References.- Index.