This paper deals with the existence of bounded and locally H\"older continuous weak solutions of the following nonlinear fourth-order Dirichlet problem: $\sum\limits_{|\al|=1,2}$$(-1)^{|\al|}\DD^\al\big[A_\al(x, u, \Du u,\Dm u)~-~E_\al(x)~|u|^{\lambda(p_{\al}-1)}~\sgn u\big] = f$ in $\Omega$, where the coefficients $A_\al$ satisfy a strengthened degenerate coercivity condition.
Existence of Bounded Solutions for a Class of Degenerate Fourth-Order Elliptic Equations with Convection Terms
Salvatore D'Asero
2024-01-01
Abstract
This paper deals with the existence of bounded and locally H\"older continuous weak solutions of the following nonlinear fourth-order Dirichlet problem: $\sum\limits_{|\al|=1,2}$$(-1)^{|\al|}\DD^\al\big[A_\al(x, u, \Du u,\Dm u)~-~E_\al(x)~|u|^{\lambda(p_{\al}-1)}~\sgn u\big] = f$ in $\Omega$, where the coefficients $A_\al$ satisfy a strengthened degenerate coercivity condition.File in questo prodotto:
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