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A nodal solution of the scalar field equation at the second minimax level
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Bulletin of the London Mathematical Society, ISSN 0024-6093, E-ISSN 1469-2120, Vol. 46, 1218-1225 p.Article in journal (Refereed) Published
Abstract [en]

We prove the existence of a sign-changing eigenfunction at the second minimax level of the eigenvalue problem for the scalar field equation under a slow decay condition on the potential near infinity. The proof involves constructing a set consisting of sign-changing functions that is dual to the second minimax class. We also obtain a nonradial sign-changing eigenfunction at this level when the potential is radial.

Place, publisher, year, edition, pages
2014. Vol. 46, 1218-1225 p.
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URN: urn:nbn:se:uu:diva-240208DOI: 10.1112/blms/bdu075ISI: 000345828100011OAI: oai:DiVA.org:uu-240208DiVA: diva2:776431
Available from: 2015-01-07 Created: 2015-01-06 Last updated: 2016-04-13

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