Detail publikačního výsledku

Multi-bump solutions for critical Schrodinger equations with electromagnetic fields and logarithmic nonlinearity

SUN, X.; FU, Y.; RADULESCU, V.

Originální název

Multi-bump solutions for critical Schrodinger equations with electromagnetic fields and logarithmic nonlinearity

Anglický název

Multi-bump solutions for critical Schrodinger equations with electromagnetic fields and logarithmic nonlinearity

Druh

Článek WoS

Originální abstrakt

In this paper, we are interested in the existence and multiplicity of multi-bump solutions for critical Schrodinger equations with electromagnetic fields and logarithmic nonlinearity of the following type: -(del + iA(x))(2)u + (lambda Z(x) + nu(x))u = upsilon ulog |u|(2) + |u|(2*-2)u, u is an element of H-1(R-N, C), where N >= 3, the magnetic potential A is an element of L-loc(2)(R-N, R-N), upsilon is an element of (1, +infinity), the parameter lambda >= 1 and Z(x), nu(x) : R-N -> R are the non-negative continuous functions. Applying variational methods, we obtain that the above equations have at least 2(k) - 1 multi-bump solutions as lambda >= 1 is sufficiently large. To some extent, we extend and complement the results of [C. O. Alves and C. Ji, Multi-bump positive solutions for a logarithmic Schrodinger equation with deepening potential well, Sci. China Math. 65 (2022) 1577-1598; J. Wang and Z. Yin, Multi-bump solutions for the nonlinear magnetic Schrodinger equation with logarithmic nonlinearity, Math. Nachr. 298 (2025) 328-355] from subcritical case to critical case

Anglický abstrakt

In this paper, we are interested in the existence and multiplicity of multi-bump solutions for critical Schrodinger equations with electromagnetic fields and logarithmic nonlinearity of the following type: -(del + iA(x))(2)u + (lambda Z(x) + nu(x))u = upsilon ulog |u|(2) + |u|(2*-2)u, u is an element of H-1(R-N, C), where N >= 3, the magnetic potential A is an element of L-loc(2)(R-N, R-N), upsilon is an element of (1, +infinity), the parameter lambda >= 1 and Z(x), nu(x) : R-N -> R are the non-negative continuous functions. Applying variational methods, we obtain that the above equations have at least 2(k) - 1 multi-bump solutions as lambda >= 1 is sufficiently large. To some extent, we extend and complement the results of [C. O. Alves and C. Ji, Multi-bump positive solutions for a logarithmic Schrodinger equation with deepening potential well, Sci. China Math. 65 (2022) 1577-1598; J. Wang and Z. Yin, Multi-bump solutions for the nonlinear magnetic Schrodinger equation with logarithmic nonlinearity, Math. Nachr. 298 (2025) 328-355] from subcritical case to critical case

Klíčová slova

Logarithmic Schodinger equations;multi-bump solutions;variational methods;deepening potential well

Klíčová slova v angličtině

Logarithmic Schodinger equations;multi-bump solutions;variational methods;deepening potential well

Autoři

SUN, X.; FU, Y.; RADULESCU, V.

Rok RIV

2026

Vydáno

01.11.2025

Periodikum

Analysis and Applications

Svazek

23

Číslo

08

Stát

Singapurská republika

Strany od

1307

Strany do

1344

Strany počet

38

URL

https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001438080400001

BibTex

@article{BUT199048,
  author="{} and  {} and Vicentiu {Radulescu}",
  title="Multi-bump solutions for critical Schrodinger equations with electromagnetic fields and logarithmic nonlinearity",
  journal="Analysis and Applications",
  year="2025",
  volume="23",
  number="08",
  pages="1307--1344",
  doi="10.1142/S0219530525500083",
  issn="0219-5305",
  url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001438080400001"
}