On the existence of multiple solutions for fractional Brezis-Nirenberg-type equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129376" target="_blank" >RIV/00216224:14310/22:00129376 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/full/10.1002/mana.202000098" target="_blank" >https://onlinelibrary.wiley.com/doi/full/10.1002/mana.202000098</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.202000098" target="_blank" >10.1002/mana.202000098</a>

Result language
angličtina
Original language name
On the existence of multiple solutions for fractional Brezis-Nirenberg-type equations
Original language description
This paper studies the nonlocal fractional analog of the famous paper of Brezis and Nirenberg [Comm. Pure Appl. Math. 36 (1983), no. 4, 437-477]. Namely, we focus on the following model: (p){(-Delta)(s)u-lambda u = alpha vertical bar u vertical bar(p-2)u+beta vertical bar u vertical bar(2s)*(-2)u in Omega, u = 0 in R-N Omega, where (-Delta)(s) is the fractional Laplace operator, s is an element of (0,1), with N > 2s, 2 < p < 2(s)*, beta > 0, lambda, alpha is an element of R, and establish the existence of nontrivial solutions and sign-changing solutions for the problem (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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ19-14413Y" target="_blank" >GJ19-14413Y: Linear and nonlinear elliptic equations with singular data and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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