Nontrivial solutions for a mixed boundary problem for Schr\"odinger equations with an external magnetic field
We study the existence of solutions for a class of nonlinear Schr\"odinger equations involving a magnetic field with mixed Dirichlet-Neumann boundary conditions. We use Lyusternik-Shnirelman category and the Morse theory to estimate the number of nontrivial solutions in terms of the topology of...
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| creator | Alves, Claudianor Oliveira Nemer, Rodrigo Cohen Mota Soares, Sérgio Henrique Monari |
| description | We study the existence of solutions for a class of nonlinear Schr\"odinger
equations involving a magnetic field with mixed Dirichlet-Neumann boundary
conditions. We use Lyusternik-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. |
| doi_str_mv | 10.48550/arxiv.1309.4691 |
| format | Article |
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equations involving a magnetic field with mixed Dirichlet-Neumann boundary
conditions. We use Lyusternik-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.</description><identifier>DOI: 10.48550/arxiv.1309.4691</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2013-09</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,778,883</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1309.4691$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1309.4691$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Alves, Claudianor Oliveira</creatorcontrib><creatorcontrib>Nemer, Rodrigo Cohen Mota</creatorcontrib><creatorcontrib>Soares, Sérgio Henrique Monari</creatorcontrib><title>Nontrivial solutions for a mixed boundary problem for Schr\"odinger equations with an external magnetic field</title><description>We study the existence of solutions for a class of nonlinear Schr\"odinger
equations involving a magnetic field with mixed Dirichlet-Neumann boundary
conditions. We use Lyusternik-Shnirelman category and the Morse theory to
estimate the number of nontrivial solutions in terms of the topology of the
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equations involving a magnetic field with mixed Dirichlet-Neumann boundary
conditions. We use Lyusternik-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.</abstract><doi>10.48550/arxiv.1309.4691</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Nontrivial solutions for a mixed boundary problem for Schr\"odinger equations with an external magnetic field |
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