Existence of Hölder Continuous Solutions for a Class of Degenerate Fourth-Order Elliptic Equations

Mediterranean Journal of Mathematics（2022）

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摘要

This paper deals with the existence of bounded and locally Hölder continuous weak solutions of a homogeneous Dirichlet problem related to a class of nonlinear fourth-order elliptic equations with strengthened degenerate ellipticity condition.

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关键词

High-order equations,Nonlinear elliptic problems,Degenerate coercivity,Boundedness,Hölder’s continuity

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