Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field
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https://doi.org/10.12775/TMNA.2015.050Słowa kluczowe
Nonlinear Schrodinger equation, variational methods, Lusternik--Schnirelman category, Morse theoryAbstrakt
We study the existence of solutions for a class of nonlinear Schr\"{o}dinger equations involving a magnetic field with mixed Dirichlet--Neumann boundary conditions. We use Lusternik--Shnirelman category and the Morse theory to estimate the number of nontrivial solutions in terms of the topology of the part of the boundary where the Neumann condition is prescribed.Pobrania
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2015-09-01
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ALVES, Claudianor Oliveira, NEMER, Rodrigo C. M. & SOARES, Sergio H. Monari. Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2015, T. 46, nr 1, s. 329–362. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2015.050.
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