Nonlinear fractional elliptic systems with boundary measure data: Existence and a priori estimates

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00113519" target="_blank" >RIV/00216224:14310/19:00113519 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022247X19302550" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X19302550</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2019.03.034" target="_blank" >10.1016/j.jmaa.2019.03.034</a>

Result language
angličtina
Original language name
Nonlinear fractional elliptic systems with boundary measure data: Existence and a priori estimates
Original language description
We are concerned with positive solutions of the fractional elliptic system { (-Delta)(s)u = f(v) in Omega, 1 (-Delta)(s)v = g(u) in Omega, (E) where Omega is an arbitrary domain in R-N (N > 2s), s is an element of (-1/2-, 1) and f, g Omega C-loc(beta)(R), for some beta is an element of (0, 1). We establish universal a priori estimate for positive solutions of (E). Then for C-2 bounded domain Omega, we prove the existence of positive solutions of (E) with prescribed boundary value u = mu and v = v where mu, v are positive bounded measure on partial derivative Omega and discuss regularity property of the solutions. (C) 2019 Elsevier Inc. All rights reserved.
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
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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