Concentration of normalized solutions for non-autonomous fractional Schrödinger equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0198131" target="_blank" >RIV/00216305:26220/26:0198131 - isvavai.cz</a>

Výsledek na webu

<a href="https://link-springer-com.ezproxy.lib.vutbr.cz/article/10.1007/s00033-025-02510-0" target="_blank" >https://link-springer-com.ezproxy.lib.vutbr.cz/article/10.1007/s00033-025-02510-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00033-025-02510-0" target="_blank" >10.1007/s00033-025-02510-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Concentration of normalized solutions for non-autonomous fractional Schrödinger equations

Popis výsledku v původním jazyce

In the present paper, we investigate the existence, multiplicity and concentration of normalized solutions to the following fractional Schrödinger equation with potential (Formula presented.) where 0<s<1, N≥2, a,ε>0, V∈C(RN,R), λ is an unknown parameter that will appear as a Lagrange multiplier, f is a mass subcritical and Sobolev subcritical nonlinearity. Under fairly general assumptions about f and a global condition about V, with the aid of minimization techniques and Lusternik–Schnirelmann category theory, we study the relation between the numbers of normalized solutions and the topology of the set where the potential V attains its minimum value. In addition, we obtain the decay behavior of normalized solutions. Finally, by using of the cut-off technique we also consider the Sobolev supercritical case that has not been considered about the study of normalized solutions.

Název v anglickém jazyce

Concentration of normalized solutions for non-autonomous fractional Schrödinger equations

Popis výsledku anglicky

In the present paper, we investigate the existence, multiplicity and concentration of normalized solutions to the following fractional Schrödinger equation with potential (Formula presented.) where 0<s<1, N≥2, a,ε>0, V∈C(RN,R), λ is an unknown parameter that will appear as a Lagrange multiplier, f is a mass subcritical and Sobolev subcritical nonlinearity. Under fairly general assumptions about f and a global condition about V, with the aid of minimization techniques and Lusternik–Schnirelmann category theory, we study the relation between the numbers of normalized solutions and the topology of the set where the potential V attains its minimum value. In addition, we obtain the decay behavior of normalized solutions. Finally, by using of the cut-off technique we also consider the Sobolev supercritical case that has not been considered about the study of normalized solutions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

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

Zeitschrift für angewandte Mathematik und Physik

ISSN

0044-2275

e-ISSN

1420-9039

Svazek periodika

76(4)

Číslo periodika v rámci svazku

132

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

29

Strana od-do

—

Kód UT WoS článku

001505173600002

EID výsledku v databázi Scopus

2-s2.0-105007445588