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On the absence of solutions of differential inequalities with the infinity Laplacian

A. A. Kon'kov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics



Abstract: The Dirichlet problem for the ∞-Laplacian in unbounded domains is considered. Sufficient blow-up conditions are obtained for non-negative solutions of this problem. Examples are given to confirm the accuracy of these conditions.


© Steklov Math. Inst. of RAS, 2026