Concentration and multiplicity of solutions for fractional double phase problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0197286" target="_blank" >RIV/00216305:26220/26:0197286 - isvavai.cz</a>
Result on the web
<a href="https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/concentration-and-multiplicity-of-solutions-for-fractional-double-phase-problems/3C15C719D64358B5B7AC8E92A65E969B" target="_blank" >https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/concentration-and-multiplicity-of-solutions-for-fractional-double-phase-problems/3C15C719D64358B5B7AC8E92A65E969B</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/prm.2024.84" target="_blank" >10.1017/prm.2024.84</a>
Alternative languages
Result language
angličtina
Original language name
Concentration and multiplicity of solutions for fractional double phase problems
Original language description
In the present paper, we consider the following fractional double phase problem with nonlo cal reaction: ( ( (-Delta)(p)(s)u + (-Delta)(q)(s) u + V (epsilon x)(|u|(p-2)u + |u|(q-2)u) = (1/|x|mu & lowast; F(u)f(u) in R-N, u is an element of W-s,W-p (R-N) boolean AND W-s,W-q(R-N), u > 0 in R-N } where epsilon is a positive parameter, 0 < s < 1, 2 p < q < min{2p, N/s }, 0 < <mu> < sp , (-Delta)(t)(s) (t is an element of { p, q }) is the fractional t-Laplace operator, the reaction term f : R 7 -> R is continuous, and the potential V is an element of C (R-N , R ) satisfying a local condition. Using a variational approach and topological tools (the non-standard C 1-Nehari manifold analysis and the abstract category theory), multiplicity of positive solutions and concentration properties for the above problem are established. Our results extend and complement some previous contributions related to double phase variational integrals.
Czech name
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Czech description
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Classification
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
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
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
2024
Issue of the periodical within the volume
11
Country of publishing house
GB - UNITED KINGDOM
Number of pages
54
Pages from-to
1-54
UT code for WoS article
001364313900001
EID of the result in the Scopus database
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