We study a Dirichlet problem associated to a nonlinear fourth-order equation with a convective lower order term and with coefficients of principal part satisfying a strengthened coercivity condition. We obtain the existence of a weak solution and its Holder's continuity.
Bounded solutions of fourth-order nonlinear elliptic equations with convection terms
Cirmi G. R.
;D'Asero S.
2021-01-01
Abstract
We study a Dirichlet problem associated to a nonlinear fourth-order equation with a convective lower order term and with coefficients of principal part satisfying a strengthened coercivity condition. We obtain the existence of a weak solution and its Holder's continuity.File in questo prodotto:
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