A variational proof that mixed local-nonlocal elliptic equations on hyperbolic space admit nontrivial weak solutions in the subcritical case, and conditionally in the critical case.
Some constructions for the fractional Laplacian on noncompact manifolds
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Elliptic Problems Involving Mixed Local-Nonlocal Operator in the Hyperbolic Space
A variational proof that mixed local-nonlocal elliptic equations on hyperbolic space admit nontrivial weak solutions in the subcritical case, and conditionally in the critical case.