Indefinite Perturbations of the Eigenvalue Problem for the Nonautonomous p-Laplacian
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148750" target="_blank" >RIV/00216305:26220/23:PU148750 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00032-023-00385-2" target="_blank" >https://link.springer.com/article/10.1007/s00032-023-00385-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00032-023-00385-2" target="_blank" >10.1007/s00032-023-00385-2</a>
Alternative languages
Result language
angličtina
Original language name
Indefinite Perturbations of the Eigenvalue Problem for the Nonautonomous p-Laplacian
Original language description
We consider an indefinite perturbation of the eigenvalue problem for the nonautonomous p-Laplacian. The main result establishes an exhaustive analysis in the nontrivial case that corresponds to noncoercive perturbations of the reaction. Using variational tools and truncation and comparison techniques, we prove an existence and multiplicity theorem which is global in the parameter. The main result of this paper establishes the existence of at least two positive solutions in the case of small perturbations, while no solution exists for high perturbations of the quasilinear term in the reaction.
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
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Milan Journal of Mathematics
ISSN
1424-9286
e-ISSN
1424-9294
Volume of the periodical
91
Issue of the periodical within the volume
2023
Country of publishing house
IT - ITALY
Number of pages
21
Pages from-to
353-373
UT code for WoS article
001037318500001
EID of the result in the Scopus database
2-s2.0-85165893907