Solutions with prescribed mass to Kirchhoff equations: generic double-behaviour nonlinearities

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199220" target="_blank" >RIV/00216305:26220/26:0199220 - isvavai.cz</a>

Result on the web

<a href="https://iopscience.iop.org/article/10.1088/1361-6544/ae0b26" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-6544/ae0b26</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6544/ae0b26" target="_blank" >10.1088/1361-6544/ae0b26</a>

Result language

angličtina

Original language name

Solutions with prescribed mass to Kirchhoff equations: generic double-behaviour nonlinearities

Original language description

In this paper, we study the Kirchhoff equation {-(a+b integral(3)(R)|del u|(2)dx)Delta u+lambda u=f(u), x is an element of R-3, integral(3)(R)|u|(2)dx=c(2), x is an element of R-3, (lambda,u)is an element of RxH(1)(R-3), where a,b,c>0, lambda is an element of R is unknown as a Lagrange multiplier. We provide generic assumptions about the nonlinearity f(u), which correspond to the L-2-subcritical, L-2-critical, L-2-supercritical, and Sobolev critical cases. Making use of the minimization of the energy functional over a linear combination of the Nehari and Pohozaev constraints intersected with the product of the closed balls in L-2(R-3) of radii c, we prove the existence of normalized solutions to the Kirchhoff equation.

Czech name

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Czech description

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Type

J_imp - 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

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Nonlinearity

ISSN

0951-7715

e-ISSN

1361-6544

Volume of the periodical

38

Issue of the periodical within the volume

10

Country of publishing house

GB - UNITED KINGDOM

Number of pages

32

Pages from-to

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UT code for WoS article

001589618900001

EID of the result in the Scopus database

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