New results concerning a Schrödinger equation involving logarithmic nonlinearity
In this paper, we investigate the existence of ground state solution to a class of Schrödinger equation involving logarithmic nonlinearity. To overcome the lack of smoothness, the corresponding functional J is first decomposed into the sum of a C 1 functional and a convex lower semicontinuous functi...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Schrödinger-egyenlet, Mountain Pass tétel |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.74 |
| Online Access: | http://acta.bibl.u-szeged.hu/88876 |
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| 024 | 7 | |a 10.14232/ejqtde.2024.1.74 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Cai Yaqing | |
| 245 | 1 | 0 | |a New results concerning a Schrödinger equation involving logarithmic nonlinearity |h [elektronikus dokumentum] / |c Cai Yaqing |
| 260 | |c 2024 | ||
| 300 | |a 16 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this paper, we investigate the existence of ground state solution to a class of Schrödinger equation involving logarithmic nonlinearity. To overcome the lack of smoothness, the corresponding functional J is first decomposed into the sum of a C 1 functional and a convex lower semicontinuous functional by adapting to the approach of Squassina–Szulkin in [Calc. Var. Partial Differential Equations 54(2015), 585–597]. Secondly, the existence of a ground state solution to the studied equation is proved by using the Mountain Pass Theorem under the weakened Ambrosetti–Rabinowitz conditions. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Schrödinger-egyenlet, Mountain Pass tétel | ||
| 700 | 0 | 1 | |a Zhao Yulin |e aut |
| 700 | 0 | 1 | |a Luo Chaoliang |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/88876/1/ejqtde_2024_074.pdf |z Dokumentum-elérés |