Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916511203983360 |
|---|---|
| author | Zuo, Jiabin Zhong, Yuyou Repovš, Dušan D. |
| author_facet | Zuo, Jiabin Zhong, Yuyou Repovš, Dušan D. |
| contents | This paper is concerned with existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schrödinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequences is obtained by a special technique, which borrows from the ideas of Soave (J. Funct. Anal. 279 (6) (2020) 1086102020). This paper represents an extension of previously known results - in the local and the nonlocal cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_12583 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity Zuo, Jiabin Zhong, Yuyou Repovš, Dušan D. Analysis of PDEs 26A33, 35A15, 35B33, 35J20 This paper is concerned with existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schrödinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequences is obtained by a special technique, which borrows from the ideas of Soave (J. Funct. Anal. 279 (6) (2020) 1086102020). This paper represents an extension of previously known results - in the local and the nonlocal cases. |
| title | Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity |
| topic | Analysis of PDEs 26A33, 35A15, 35B33, 35J20 |
| url | https://arxiv.org/abs/2206.12583 |