Concentration of normalized solutions for non-autonomous fractional Schrödinger equations
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Concentration of normalized solutions for non-autonomous fractional Schrödinger equations
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Zeitschrift für angewandte Mathematik und Physik
ISSN
0044-2275
e-ISSN
1420-9039
Volume of the periodical
76(4)
Issue of the periodical within the volume
132
Country of publishing house
CH - SWITZERLAND
Number of pages
29
Pages from-to
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UT code for WoS article
001505173600002
EID of the result in the Scopus database
2-s2.0-105007445588