Remarks on minimizers for (p, q)-Laplace equations with two parameters

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43950223" target="_blank" >RIV/49777513:23520/18:43950223 - isvavai.cz</a>
Result on the web
<a href="http://aimsciences.org//article/doi/10.3934/cpaa.2018059" target="_blank" >http://aimsciences.org//article/doi/10.3934/cpaa.2018059</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/cpaa.2018059" target="_blank" >10.3934/cpaa.2018059</a>

Result language
angličtina
Original language name
Remarks on minimizers for (p, q)-Laplace equations with two parameters
Original language description
We study in detail the existence, nonexistence and behavior of global minimizers, ground states and corresponding energy levels of the (p,q)-Laplace equation in a bounded domain under zero Dirichlet boundary condition, where p>q>1. A curve on the plane of parameters which allocates a set of the existence of ground states and the multiplicity of positive solutions is constructed. Additionally, we show that eigenfunctions of the p-and q-Laplacians under zero Dirichlet boundary condition are linearly independent.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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