On the sets of boundedness of solutions to degenerate fouth-order equations with strengtheningly monotone principal parts, absortion and L^1-data
AbstractWe consider the Dirichlet problem for a class of degenerate nonlinear elliptic fourth-order equations with strengtheningly monotone principal parts, absorbing lower-order terms and L1-right-hand sides. We establish existence of solutions of the given problem bounded on the sets where the behaviour of the data of the problem is regular enough.
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