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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…
math.AP2023
Geometric properties of extremal domains for the -Laplacian operator
Francisco G. Carvalho, Marcos P. Cavalcante
In this paper, we explore the geometric properties of unbounded extremal domains for the -Laplacian operator in both Euclidean and hyperbolic spaces. Assuming that the nonlinear…