Voitovych, Mykhailo2022-04-012022-04-012017-03-02Voitovych, M. V. (2017). Hölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms. <i>Electronic Journal of Differential Equations, 2017</i>(63), pp. 1-18.1072-6691https://hdl.handle.net/10877/15589In this article we extend the author's previous results on the existence of bounded generalized solutions of a Dirichlet problem for nonlinear elliptic fourth-order equations with the principal part satisfying a strengthened coercivity condition, and a lower-order term having a "natural" growth with respect to the derivatives of the unknown function. Namely, we prove the Hölder continuity of bounded generalized solutions of such equations.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear elliptic equationsStrengthened coercivityLower-order termNatural growthBounded solutionHölder continuityArticle