On sign-changing solutions for (p, q)-Laplace equations with two parameters
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43954816" target="_blank" >RIV/49777513:23520/19:43954816 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/view/j/anona.2019.8.issue-1/anona-2016-0172/anona-2016-0172.xml" target="_blank" >https://www.degruyter.com/view/j/anona.2019.8.issue-1/anona-2016-0172/anona-2016-0172.xml</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/anona-2016-0172" target="_blank" >10.1515/anona-2016-0172</a>
Alternative languages
Result language
angličtina
Original language name
On sign-changing solutions for (p, q)-Laplace equations with two parameters
Original language description
We investigate the existence of nodal (sign-changing) solutions to the Dirichlet problem for a two-parametric family of partially homogeneous (p, q)-Laplace equations −Δpu − Δqu = α|u|p−2u + β|u|q−2u where p ≠ q. By virtue of the Nehari manifolds, the linking theorem, and descending flow, we explicitly characterize subsets of the (α, β)-plane which correspond to the existence of nodal solutions. In each subset the obtained solutions have prescribed signs of energy and, in some cases, exactly two nodal domains. The nonexistence of nodal solutions is also studied. Additionally, we explore several relations between eigenvalues and eigenfunctions of the p- and q-Laplacians in one dimension.
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
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Nonlinear Analysis
ISSN
2191-9496
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
29
Pages from-to
101-129
UT code for WoS article
000459891200006
EID of the result in the Scopus database
2-s2.0-85062600794