Detail publikačního výsledku

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

LIANG, SH.; SUN, X.; LIANG,SS; RADULESCU, V.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

concentration-compactness principle; schrodinger-equations; elliptic problems; existence

Klíčová slova v angličtině

concentration-compactness principle; schrodinger-equations; elliptic problems; existence

Autoři

LIANG, SH.; SUN, X.; LIANG,SS; RADULESCU, V.

Rok RIV

2026

Vydáno

30.11.2025

Periodikum

Transactions of the London Mathematical Society

Svazek

12

Číslo

1

Stát

Spojené království Velké Británie a Severního Irska

Strany počet

41

URL

https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/tlm3.70021

BibTex

@article{BUT199833,
  author="{} and  {} and  {} and Vicentiu {Radulescu}",
  title="Normalized solutions of the critical Schrödinger-Bopp-Podolsky system with logarithmic nonlinearity",
  journal="Transactions of the London Mathematical Society",
  year="2025",
  volume="12",
  number="1",
  pages="41",
  doi="10.1112/tlm3.70021",
  issn="2052-4986",
  url="https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/tlm3.70021"
}