Regularity results for positive solutions of a semilinear elliptic system

Let, N≧3 be an open set. In this paper we study weak positive solutions of the following semilinear system where p≧1, q≧1, with pq>1, and u∈Lq(Ω), v∈Lp(Ω), and we give in particular some regularity results. Furthermore, we give some applications to the biharmonic equation.

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Bibliographic Details
Published inAnnali di matematica pura ed applicata Vol. 179; no. 1; pp. 125 - 147
Main Authors Boccuto, Antonio, Mitidieri, Enzo
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 2001
Subjects
Biharmonic equations
Regularity
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Summary:Let, N≧3 be an open set. In this paper we study weak positive solutions of the following semilinear system where p≧1, q≧1, with pq>1, and u∈Lq(Ω), v∈Lp(Ω), and we give in particular some regularity results. Furthermore, we give some applications to the biharmonic equation.
ISSN:0373-3114
1618-1891
DOI:10.1007/BF02505951