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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199048" target="_blank" >RIV/00216305:26220/26:0199048 - isvavai.cz</a>

Výsledek na webu

<a href="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001438080400001" target="_blank" >https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001438080400001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0219530525500083" target="_blank" >10.1142/S0219530525500083</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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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

Analysis and Applications

ISSN

0219-5305

e-ISSN

1793-6861

Svazek periodika

23

Číslo periodika v rámci svazku

08

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

38

Strana od-do

1307-1344

Kód UT WoS článku

001438080400001

EID výsledku v databázi Scopus

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