Non-autonomous double phase eigenvalue problems with indefinite weight and lack of compactness

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU149926" target="_blank" >RIV/00216305:26220/24:PU149926 - isvavai.cz</a>
Result on the web
<a href="https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.12961" target="_blank" >https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.12961</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.12961" target="_blank" >10.1112/blms.12961</a>

Result language
angličtina
Original language name
Non-autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Original language description
In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight,-Delta pau-Delta qu=lambda m(x)|u|q-2uinRN,$$begin{equation*} hspace*{3pc}-Delta _pa u-Delta _q u =lambda m(x)|u|{q-2}u quad mbox{in} ,, mathbb {R}<^>N, end{equation*}$$where N > 2$N geqslant 2$, 1{0, 1}(mathbb {R}N, [0, +infty))$, a not equivalent to 0$a notequiv 0$ and m:RN -> R$m: mathbb {R}N rightarrow mathbb {R}$ is an indefinite sign weight which may admit non-trivial positive and negative parts. Here, Delta q$Delta _q$ is the q$q$-Laplacian operator and Delta pa$Delta _pa$ is the weighted p$p$-Laplace operator defined by Delta pau:=div(a(x)| backward difference u|p-2 backward difference u)$Delta _pa u:=textnormal {div}(a(x)|nabla u|{p-2} nabla u)$. The problem can be degenerate, in the sense that the infimum of a$a$ in RN$mathbb {R}N$ may be zero. Our main results distinguish between the cases p
Czech name
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Czech description
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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

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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