Some bifurcation results for fractional Laplacian problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43959658" target="_blank" >RIV/49777513:23520/20:43959658 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/abs/pii/S0362546X19302950?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0362546X19302950?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2019.111642" target="_blank" >10.1016/j.na.2019.111642</a>
Alternative languages
Result language
angličtina
Original language name
Some bifurcation results for fractional Laplacian problems
Original language description
We consider a nonlocal problem with the fractional Laplacian operator on a bounded domain with smooth boundary and depending on a bifurcation parameter near resonance at the principal eigenvalue. The nonlinear perturbation is sublinear at infinity. We use bifurcation theory to establish the existence of continua of the solution set bifurcating from infinity at the principal eigenvalue and discuss the nodal properties of solutions on these continua. We establish the multiplicity of solutions near the resonance and the existence of solution in the resonant case. As corollaries, we obtain anti-maximum principle and solvability for the resonant case satisfying the so called Landesman–Lazer type condition.
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
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis
ISSN
0362-546X
e-ISSN
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Volume of the periodical
191
Issue of the periodical within the volume
February 2020
Country of publishing house
GB - UNITED KINGDOM
Number of pages
18
Pages from-to
1-18
UT code for WoS article
000500478900018
EID of the result in the Scopus database
2-s2.0-85073006961