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REGULARITY OF NONLINEAR EQUATIONS FOR FRACTIONAL LAPLACIAN.
- Source :
-
Proceedings of the American Mathematical Society . Aug2013, Vol. 141 Issue 8, p2665-2672. 8p. - Publication Year :
- 2013
-
Abstract
- In this paper, we prove that any Hs (Ω) solution u of the problem s (0.1) (-Δ)su = f(u) in Ω,u = 0 on ∂ύ, belongs to L∞ (Ω) for the nonlinearity of f(t) being subcritical and critical. This implies that the solution u is classical if f(t) is C1, γ for some 0 < γ < 1. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 141
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 87765705
- Full Text :
- https://doi.org/10.1090/S0002-9939-2013-11734-X