3 research outputs found
Holder continuity of bounded generalized solutions for nonlinear fourth-order elliptic equations with strengthened coercivity and natural growth terms
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 Holder continuity of bounded generalized solutions of such equations