Entropy solutions of Dirichlet problem for a class of degenerate anisotropic fourth-order equations with \(L ^{1}\)-right-hand sides
This paper is devoted to study entropy solutions of the Dirichlet problem for a class of degenerate anisotropic nonlinear elliptic fourth-order equations with \(L^1\)-right-hand sides. The authors introduce a notion of the entropy solution of the problem under consideration. Under some assumptions on the involved exponents and weighted functions related to the equations they obtain existence and uniqueness of a solution of this kind.
scientific article; zbMATH DE number 1788031