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The paper investigates the existence, nonexistence, and uniqueness of positive entire solutions for semilinear elliptic equations on the n-dimensional Hyperbolic space. It establishes several theorems regarding conditions under which these solutions exist or do not exist, particularly focusing on the parameter λ and the exponent p. The authors also discuss symmetry properties of solutions and provide a detailed analysis of the implications of their findings in the context of related mathematical inequalitie

Author

s.depace

Language

EN