Priori estimates and asymptotic properties of solutions for some fractional order elliptic equations

In this paper, we obtain estimates for solutions for a class of fractional order elliptic equations in different domains and boundary conditions, and prove some regularity results. Then, we study the qualitative properties of solutions with prescribed Q -curvature.

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Bibliographic Details
Published inJournal of contemporary mathematical analysis Vol. 52; no. 5; pp. 221 - 226
Main Authors Pei, R., Ma, C.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2017
Springer Nature B.V
Subjects
Asymptotic properties
Curvature
Differential Equations
Economic models
Mathematical analysis
Mathematics
Mathematics and Statistics
priori estimate
asymptotic behavior
Q-curvature
35B45
Fractional order elliptic equation
35B40
35J45
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Summary:In this paper, we obtain estimates for solutions for a class of fractional order elliptic equations in different domains and boundary conditions, and prove some regularity results. Then, we study the qualitative properties of solutions with prescribed Q -curvature.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362317050028