NORMALIZED SOLUTIONS FOR SOBOLEV CRITICAL SCHRODINGER-BOPP-PODOLSKY SYSTEMS

Li, Y; Chang, X; Feng, Z

NORMALIZED SOLUTIONS FOR SOBOLEV CRITICAL SCHRODINGER-BOPP-PODOLSKY SYSTEMS

Li, Y Chang, X

Feng, Z

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Publisher:: TEXAS STATE UNIV
Publication Type:: Journal Article
Citation:: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023, (56), pp. 1-19
Issue Date:: 2023-09-05

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Field	Value	Language
dc.contributor.author	Li, Y
dc.contributor.author	Chang, X https://orcid.org/0000-0002-7778-8807
dc.contributor.author	Feng, Z
dc.date.accessioned	2024-05-22T05:02:04Z
dc.date.available	2024-05-22T05:02:04Z
dc.date.issued	2023-09-05
dc.identifier.citation	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023, (56), pp. 1-19
dc.identifier.issn	1072-6691
dc.identifier.issn	1072-6691
dc.identifier.uri	http://hdl.handle.net/10453/179128
dc.description.abstract	<jats:p>We study the Sobolev critical Schrodinger-Bopp-Podolsky system $$\displaylines{ -\Delta u+\phi u=\lambda u+\mu\|u\|^{p-2}u+\|u\|^4u\quad \text{in }\mathbb{R}^3,\cr -\Delta\phi+\Delta^2\phi=4\pi u^2\quad \text{in } \mathbb{R}^3, }$$ under the mass constraint $\int_{\mathbb{R}^3}u^2\,dx=c $ for some prescribed $c>0$, where $2<p<8/3$, $\mu>0$ is a parameter, and $\lambda\in\mathbb{R}$ is a Lagrange multiplier. By developing a constraint minimizing approach, we show that the above system admits a local minimizer. Furthermore, we establish the existence of normalized ground state solutions. For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/56/abstr.html</jats:p>
dc.language	English
dc.publisher	TEXAS STATE UNIV
dc.relation.ispartof	ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
dc.relation.isbasedon	10.58997/ejde.2023.56
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0101 Pure Mathematics
dc.subject.classification	General Mathematics
dc.subject.classification	4903 Numerical and computational mathematics
dc.subject.classification	4904 Pure mathematics
dc.title	NORMALIZED SOLUTIONS FOR SOBOLEV CRITICAL SCHRODINGER-BOPP-PODOLSKY SYSTEMS
dc.type	Journal Article
utslib.citation.volume	2023
utslib.for	0101 Pure Mathematics
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2024-05-22T05:02:03Z
pubs.issue	56
pubs.publication-status	Published
pubs.volume	2023
utslib.citation.issue	56

Abstract:

We study the Sobolev critical Schrodinger-Bopp-Podolsky system $$\displaylines{ -\Delta u+\phi u=\lambda u+\mu|u|^{p-2}u+|u|^4u\quad \text{in }\mathbb{R}^3,\cr -\Delta\phi+\Delta^2\phi=4\pi u^2\quad \text{in } \mathbb{R}^3, }$$ under the mass constraint $\int_{\mathbb{R}^3}u^2\,dx=c $ for some prescribed $c>0$, where $2<p<8/3$, $\mu>0$ is a parameter, and $\lambda\in\mathbb{R}$ is a Lagrange multiplier. By developing a constraint minimizing approach, we show that the above system admits a local minimizer. Furthermore, we establish the existence of normalized ground state solutions. For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/56/abstr.html

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http://hdl.handle.net/10453/179128