HOLDER CONTINUITY OF BOUNDED GENERALIZED SOLUTIONS FOR NONLINEAR FOURTH-ORDER ELLIPTIC EQUATIONS WITH STRENGTHENED COERCIVITY AND NATURAL GROWTH TERMS

作者：Voitovych Mykhailo V^*

来源：Electronic Journal of Differential Equations, 2017, 63.

• Nonlinear elliptic equations
• strengthened coercivity
• lower-order term
• natural growth
• bounded solution
• Holder continuity

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.

• 出版日期2017-3-2