On the second minimax level of the scalar field equation and symmetry breaking
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| 024 | 7 | 0 | |a 10.1007/s10231-013-0368-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0368-0 | ||
| 245 | 0 | 0 | |a On the second minimax level of the scalar field equation and symmetry breaking |h [Elektronische Daten] |c [Kanishka Perera, Cyril Tintarev] |
| 520 | 3 | |a We study the second minimax level $$\lambda _2$$ λ 2 of the eigenvalue problem for the scalar field equation in $$\mathbb{R }^N$$ R N . We prove the existence of an eigenfunction at the level $$\lambda _2$$ λ 2 when the potential near infinity approaches the constant level from below no faster than $$\mathrm{{e}}^{- \varepsilon \, |x|}$$ e - ε | x | . We also consider questions about the nodality of eigenfunctions at this level and establish symmetry breaking at the levels $$2,\ldots ,N$$ 2 , ... , N . | |
| 540 | |a The Author(s), 2013 | ||
| 690 | 7 | |a Scalar field equation |2 nationallicence | |
| 690 | 7 | |a Minimax methods |2 nationallicence | |
| 690 | 7 | |a Concentration compactness |2 nationallicence | |
| 690 | 7 | |a Symmetry breaking |2 nationallicence | |
| 700 | 1 | |a Perera |D Kanishka |u Department of Mathematical Sciences, Florida Institute of Technology, 32901, Melbourne, FL, USA |4 aut | |
| 700 | 1 | |a Tintarev |D Cyril |u Department of Mathematics, Uppsala University, 75106, Uppsala, Sweden |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 131-144 |x 0373-3114 |q 194:1<131 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0368-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0368-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Perera |D Kanishka |u Department of Mathematical Sciences, Florida Institute of Technology, 32901, Melbourne, FL, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tintarev |D Cyril |u Department of Mathematics, Uppsala University, 75106, Uppsala, Sweden |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 131-144 |x 0373-3114 |q 194:1<131 |1 2015 |2 194 |o 10231 | ||