A nodal solution of the scalar field equation at the second minimax level
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
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.
IdentifiersURN: urn:nbn:se:uu:diva-240208DOI: 10.1112/blms/bdu075ISI: 000345828100011OAI: oai:DiVA.org:uu-240208DiVA: diva2:776431