An upper bound for the least energy of a sign-changing solution to a zero mass problem
| Autor: | Clapp Mónica, Maia Liliane, Pellacci Benedetta |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Advanced Nonlinear Studies, Vol 24, Iss 2, Pp 463-476 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2169-0375 2022-0065 |
| DOI: | 10.1515/ans-2022-0065 |
| Popis: | We give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is subcritical at infinity and supercritical near the origin. More precisely, we establish the existence of a nonradial sign-changing solution whose energy is smaller that 12c 0 if N = 5, 6 and smaller than 10c 0 if N ≥ 7, where c 0 is the ground state energy. |
| Databáze: | Directory of Open Access Journals |
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