We prove the existence of solutions to nonlinear parabolic problems of the following type: ∂b(u)⁄ ∂t + A(u) = f + div(Θ(x;t; u)) in Q, u(x;t) = 0 on ∂Ω × [0; T ], b(u)(t = 0) = b(u0) on Ω, where b : ℝ → ℝ is a strictly increasing function of class C 1 , the term A(u) = −div (a(x, t, u, ∇u)) is an operator of Leray-Lions type which satisfies the classical Leray-Lions assumptions of Musielak type, Θ: Ω × [0; T ] × ℝ → ℝ is a Carathéodory, noncoercive function which satisfies the following condition: sup |s|≤k |Θ(·, ·, s)| ∈ Eψ(Q) for all k > 0, where ψ is the Musielak complementary function of Θ, and the second term f belongs to L 1 (Q).
The Czech spiritual market is today as developed as that of western European countries. De-traditionalised and individualised holistic milieu has created a demand for spiritual literature and magazines as well as other marketable goods (“magic” stones, amulets, horoscopes, natural drugs etc.). This paper attempts to analyse the character and sources of contemporary best selling spiritual literature and its readership in the Czech Republic. It also provides a case study of a Prague spiritual bookshop and its comparison with five other Czech spiritual outlets (including an Internet outlet). The results clearly show that marketing spirituality has become a mainstream phenomenon with regard to all gender, age and class categories, although there was found to be an over presence of older middle-aged women among the buyers. There is emphasized “churchless” and “nonreligious” character of the buyers and the best selling books, that include predominantly those referring to “modem” and “esoteric” western or “ethnic” spiritualities. The supply side comprises both special and general publishers, the former having been more successful in specialised bookshops and spirituál outlets and the latter in addressing the wider population (including via the Internet).