Existence and multiplicity results for a class of semilinear elliptic equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F20%3A43958702" target="_blank" >RIV/49777513:23520/20:43958702 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/journal/nonlinear-analysis/vol/200/suppl/C" target="_blank" >https://www.sciencedirect.com/journal/nonlinear-analysis/vol/200/suppl/C</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2020.112017" target="_blank" >10.1016/j.na.2020.112017</a>

Result language
angličtina
Original language name
Existence and multiplicity results for a class of semilinear elliptic equations
Original language description
We study the existence and multiplicity of nonnegative solutions, as well as the behavior of corresponding parameter-dependent branches, to the equation −Δu = (1 − u)um − λun in a bounded domain Ω ⊂ RN endowed with the zero Dirichlet boundary data, where 0 < m ≤ 1 and n > 0. When λ > 0, the obtained solutions can be seen as steady states of the corresponding reaction– diffusion equation describing a model of isothermal autocatalytic chemical reaction with termination. In addition to the main new results, we formulate a few relevant conjectures.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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