Back to Search
Start Over
Regularity for Very Weak Solutions of A-Harmonic Equation with Weight.
- Source :
-
Kyungpook Mathematical Journal . 2009, Vol. 49 Issue 2, p195-202. 8p. - Publication Year :
- 2009
-
Abstract
- This paper deals with very weak solutions of the A-harmonic equation divA(x,∇u) = 0 with the operator A : Ω × Rn → Rn satisfies some coercivity and controllable growth conditions with Muckenhoupt weight. By using the Hodge decomposition with weight, a regularity property is proved: There exists an integrable exponent r1 = r1(λ, n, p) < p, such that every very weak solution u ϵ Wloc1,r (Ω,w). That is, u is a weak solution to (✶) in the usual sense. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL equations
*MATHEMATICS
*NUMERICAL analysis
*ALGEBRA
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 12256951
- Volume :
- 49
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Kyungpook Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 43081501
- Full Text :
- https://doi.org/10.5666/KMJ.2009.49.2.195