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Multiple solutions to nonlinear Schrodinger equations with singular electromagnetic potential
Stockholm University, Faculty of Science, Department of Mathematics.
2013 (English)In: Journal of Fixed Point Theory and Applications, ISSN 1661-7738, E-ISSN 1661-7746, Vol. 13, no 1, 85-102 p.Article in journal (Refereed) Published
Abstract [en]

We consider the semilinear electromagnetic Schrodinger equation , where with 2 a parts per thousand currency sign m a parts per thousand currency sign N, N a parts per thousand yen 3, 2* : = 2N/(N - 2) is the critical Sobolev exponent, V is a Hardy term and is a singular magnetic potential of a particular form which includes the Aharonov- Bohm potentials. Under some symmetry assumptions on we obtain multiplicity of solutions satisfying certain symmetry properties.

Place, publisher, year, edition, pages
2013. Vol. 13, no 1, 85-102 p.
Keyword [en]
Nonlinear Schrodinger equation, electromagnetic potential, Aharonov-Bohm potential, gauge invariance, symmetry properties
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-92523DOI: 10.1007/s11784-013-0101-zISI: 000321251800006OAI: oai:DiVA.org:su-92523DiVA: diva2:639530
Note

AuthorCount:2;

Available from: 2013-08-08 Created: 2013-08-07 Last updated: 2017-12-06Bibliographically approved

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Szulkin, Andrzej
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