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