Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions
Orif O. Ibrogimov
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague 2, 12000 Czechia
Search for more papers by this authorCorresponding Author
David Krejčiřík
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague 2, 12000 Czechia
Correspondence
David Krejčiřík, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova, 13, Prague 2 12000, Czechia.
Email: [email protected]
Search for more papers by this authorAri Laptev
Department of Mathematics, Imperial College London, Huxley Building, 180 Queen's Gate, London, SW7 2AZ UK
Sirius Mathematical Center, Sirius University of Science and Technology, 1 Olympic Ave, Sochi, 354340 Russia
Search for more papers by this authorOrif O. Ibrogimov
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague 2, 12000 Czechia
Search for more papers by this authorCorresponding Author
David Krejčiřík
Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, Prague 2, 12000 Czechia
Correspondence
David Krejčiřík, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova, 13, Prague 2 12000, Czechia.
Email: [email protected]
Search for more papers by this authorAri Laptev
Department of Mathematics, Imperial College London, Huxley Building, 180 Queen's Gate, London, SW7 2AZ UK
Sirius Mathematical Center, Sirius University of Science and Technology, 1 Olympic Ave, Sochi, 354340 Russia
Search for more papers by this authorAbstract
We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex-valued potentials in dimensions one, two and three.
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