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constant mean curvature 1eigenvalue estimates 1hypersurfaces 1jacobi operator 1jacobi-steklov problem 1rigidity theorems 1

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20242026
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math.AP2026

On the Dirichlet boundary value problem on Cartan-Hadamard manifolds

Marcos P. Cavalcante, José M. Espinar, Diego A. Marín

In this paper, we investigate the Dirichlet boundary value problem on Cartan-Hadamard manifolds, focusing on the non-existence of bounded (viscosity) solutions to semi-linear ellip…