Solvability of Dirichlet problem for a class of degenerate anisotropic equations with image-right-hand sides Original Research Article

We study Dirichlet problem for a class of degenerate anisotropic nonlinear elliptic fourth order equations with L1L1-right-hand sides. Anisotropic and degenerate character of the equations under consideration is expressed by the presence in their coefficients of different exponents and weighted functions associated to the first and second order derivatives of unknown function. Under some hypotheses on the involved exponents and weighted functions we prove existence of so-called Hν,μHν,μ-solution and H-solution of the given problem.