Multiplicity results for logarithmic double phase problems via Morse theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0200216" target="_blank" >RIV/00216305:26220/26:0200216 - isvavai.cz</a>
Result on the web
<a href="https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.70190" target="_blank" >https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.70190</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/blms.70190" target="_blank" >10.1112/blms.70190</a>

Result language
angličtina
Original language name
Multiplicity results for logarithmic double phase problems via Morse theory
Original language description
In this paper, we study elliptic equations of the form where is the logarithmic double phase operator given by is Euler's number, , , is a bounded domain with Lipschitz boundary , , with , and . Under mild assumptions on the nonlinearity we prove multiplicity results for the problem above and get two constant sign solutions and another third nontrivial solution. This third solution is obtained by using the theory of critical groups. As a result of independent interest, we show that every weak solution of the problem above is essentially bounded.
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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