2 problems
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Conjecture on bounded solutions of periodic Schrödinger operators
Let be a Schrödinger operator with periodic potentials, and consider its bounded solutions. A Bloch solution is a solution exhibiting Bloch-periodic behavior; a limitation mean…
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Eremenko's conjecture on Bloch's theorem for quasiregular and quasimeromorphic mappings
Eremenko's conjecture. There exists a version of Bloch's theorem for -quasiregular mappings on the unit ball, as well as for quasimeromorphic mappings.