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.
Sobolev inequalities, the Poisson sem igroup, and analysis on the sphere Sn
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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.