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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,35J25,35J30,35J70,35B45
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