Combined effects in mixed local-nonlocal stationary problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0198507" target="_blank" >RIV/00216305:26220/26:0198507 - isvavai.cz</a>
Result on the web
<a href="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001061816900001" target="_blank" >https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001061816900001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/prm.2023.80" target="_blank" >10.1017/prm.2023.80</a>

Result language
angličtina
Original language name
Combined effects in mixed local-nonlocal stationary problems
Original language description
In this work, we study an elliptic problem involving an operator of mixed order with both local and nonlocal aspects, and in either the presence or the absence of a singular nonlinearity. We investigate existence or nonexistence properties, power- and exponential-type Sobolev regularity results, and the boundary behaviour of the weak solution, in the light of the interplay between the summability of the datum and the power exponent in singular nonlinearities.
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

Name of the periodical
Proceedings of the Royal Society of Edinburgh Section A: Mathematics
ISSN
0308-2105
e-ISSN
1473-7124
Volume of the periodical
155
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
37
Pages from-to
10-56
UT code for WoS article
001061816900001
EID of the result in the Scopus database
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