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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Transactions of the London Mathematical Society

ISSN

2052-4986

e-ISSN

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Svazek periodika

12

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

41

Strana od-do

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Kód UT WoS článku

001626447500001

EID výsledku v databázi Scopus

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