Academic Journal
Normalized solutions of L2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
| العنوان: | Normalized solutions of L2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities |
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| المؤلفون: | Borthwick, Jack, Chang, Xiaojun, Jeanjean, Louis, Soave, Nicola |
| المساهمون: | Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté COMUE (UBFC), Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté COMUE (UBFC)-Université Bourgogne Franche-Comté COMUE (UBFC), School of Mathematics and Statistics, Northeast Normal University, Dipartimento di Matematica Politecnico Milano (POLIMI), Politecnico di Milano Milan (POLIMI), Part of this work was supported by the French Investissements d’Avenir program, project ISITE-BFC (contract ANR- 15-IDEX-0003)., Partially supported by NSFC (11971095), Partially supported by the INDAM-GNAMPA project cod. CUP_E53C22001930001 ‘Regolarita` e singolarita` in problemi con frontiere libere’, ANR-15-IDEX-0003,BFC,ISITE " BFC(2015) |
| المصدر: | ISSN: 0951-7715. |
| بيانات النشر: | CCSD IOP Publishing |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | localized non-linearity, L^2 supercritical, non-compact metric graphs, variational methods, non-linear Schrödinger equation, 35J60, 47J30, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| الوصف: | International audience ; In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities. In a L2-supercritical regime, we obtain the existence of solu- tions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/arxiv/2212.04840; ARXIV: 2212.04840 |
| DOI: | 10.1088/1361-6544/acda76 |
| الاتاحة: | https://hal.science/hal-04145060 https://hal.science/hal-04145060v1/document https://hal.science/hal-04145060v1/file/2212.04840v2.pdf https://doi.org/10.1088/1361-6544/acda76 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.2975CA0C |
| قاعدة البيانات: | BASE |
| DOI: | 10.1088/1361-6544/acda76 |
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