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Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
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  • Journal title : Kyungpook mathematical journal
  • Volume 49, Issue 2,  2009, pp.195-202
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2009.49.2.195
 Title & Authors
Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
Gao, Hong-Ya; Zhang, Yu; Chu, Yu-Ming;
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This paper deals with very weak solutions of the A-harmonic equation = 0 (*) with the operator 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 < p, such that every very weak solution with < r < p belongs to . That is, u is a weak solution to (*) in the usual sense.
A-harmonic equation;Muckenhoupt weight;regularity; Hodge decomposition;
 Cited by
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