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math.FA2018
On the spectrum of the hierarchical Schrödinger operator
Alexander Bendikov, Alexander Grigor'yan, Stanislav Molchanov
The goal of this paper is the spectral analysis of the Schrödinger operator , the perturbation of the Taibleson-Vladimirov multiplier by a potential .…
math.AP2018
Superlinear elliptic inequalities on manifolds
Alexander Grigor'yan, Yuhua Sun, Igor Verbitsky
Let be a complete non-compact Riemannian manifold and let be a Radon measure on . We study the problem of existence or non-existence of positive solutions to a semilinea…