Multiple normalized solutions for fractional elliptic problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU150387" target="_blank" >RIV/00216305:26220/24:PU150387 - isvavai.cz</a>
Result on the web
<a href="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001141871200001" target="_blank" >https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001141871200001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/forum-2023-0366" target="_blank" >10.1515/forum-2023-0366</a>

Result language
angličtina
Original language name
Multiple normalized solutions for fractional elliptic problems
Original language description
In this article, we are first concerned with the existence of multiple normalized solutions to the following fractional p-Laplace problem:{(-Delta)(p)(s)v + V(xi(x))|v|(p-2)v = lambda|v|(p-2)v + f(v) in R-N, integral(N)(R) |v|(p )dx = a(p),where a, xi > 0, p >= 2, lambda is an element of R is an unknown parameter that appears as a Lagrange multiplier, V : R-N -> [0, infinity) is a continuous function, and f is a continuous function with L-p-subcritical growth. We prove that there exists the multiplicity of solutions by using the Lusternik-Schnirelmann category. Next, we show that the number of normalized solutions is at least the number of global minimum points of V, as xi is small enough via Ekeland's variational principle.
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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