On the Fredholm-type theorems and sign properties of solutions 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%2F19%3A43956906" target="_blank" >RIV/49777513:23520/19:43956906 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs10231-019-00836-x" target="_blank" >https://link.springer.com/article/10.1007%2Fs10231-019-00836-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-019-00836-x" target="_blank" >10.1007/s10231-019-00836-x</a>

Result language
angličtina
Original language name
On the Fredholm-type theorems and sign properties of solutions for (p,q)-Laplace equations with two parameters
Original language description
We consider the Dirichlet problem for the nonhomogeneous equation -Delta pu-Delta qu=alpha |u|p-2u+beta |u|q-2u+f(x) in a bounded domain, where p not equal q, and alpha,beta is an element of R are parameters. We explore assumptions on alpha and beta that guarantee the resolvability of the considered problem. Moreover, we introduce several curves on the (alpha,beta)-plane allocating sets of parameters for which the problem has or does not have positive or sign-changing solutions, provided f is of a constant sign.
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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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