We study a Dirichlet problem associated to nonlinear fourth–order equations with a convection lower order term and with coefficients of principal part satisfying a strengthened coercivity condition. We obtain the existence and Holder’s continuity of a weak solution.

Existence of bounded solutions of fourth–order nonlinear elliptic equations with convection terms

Salvatore D'Asero
2023-01-01

Abstract

We study a Dirichlet problem associated to nonlinear fourth–order equations with a convection lower order term and with coefficients of principal part satisfying a strengthened coercivity condition. We obtain the existence and Holder’s continuity of a weak solution.
2023
high-order equations, nonlinear elliptic problems, degenerate coercivity, convection term, boundedness, Holder continuity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/663669
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