Normalized solutions of the critical Schrödinger-Bopp-Podolsky system with logarithmic nonlinearity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199833" target="_blank" >RIV/00216305:26220/26:0199833 - isvavai.cz</a>

Result on the web

<a href="https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/tlm3.70021" target="_blank" >https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/tlm3.70021</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1112/tlm3.70021" target="_blank" >10.1112/tlm3.70021</a>

Result language

angličtina

Original language name

Normalized solutions of the critical Schrödinger-Bopp-Podolsky system with logarithmic nonlinearity

Original language description

In this paper, we study the following critical Schr & ouml;dinger-Bopp-Podolsky system driven by the -Laplace operator and a logarithmic nonlinearity: The analysis is developed under the prescribed mass assumption , where , , and . The potential is a bounded and continuous function that satisfies some suitable global conditions. The main results establish the existence, multiplicity and concentration of normalized solutions to the above system and the proofs combine suitable variational and topological methods. This seems to be the first paper dealing with the existence and concentration of solutions with prescribed mass for critical Schr & ouml;dinger-Bopp-Podolsky systems involving the -Laplacian and logarithmic nonlinearity. In the final part of this paper, we are interested in the asymptotic behavior of normalized solutions as and , respectively. The main feature of this paper is given by the combined effects generated by the simultaneous appearance of a quasilinear operator, critical exponent, and the logarithmic nonlinearity.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Transactions of the London Mathematical Society

ISSN

2052-4986

e-ISSN

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Volume of the periodical

12

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

41

Pages from-to

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UT code for WoS article

001626447500001

EID of the result in the Scopus database

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