Hölder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms

Date

2017-03-02

Authors

Voitovych, Mykhailo

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In 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.

Description

Keywords

Nonlinear elliptic equations, Strengthened coercivity, Lower-order term, Natural growth, Bounded solution, Hölder continuity

Citation

Voitovych, 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.

Rights

Attribution 4.0 International

Rights Holder

Rights License