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Regularity and a priori estimates of solutions
to semilinear elliptic systems
Received: October 1, 2009; Accepted: October 21, 2009
Abstract. We improve recent results of Li  on L¥-regularity and a priori estimates for non-negative very weak solutions of elliptic systems in bounded domains. The proof is based on an alternate-bootstrap procedure in the scale of weighted Lebesgue spaces.
Keywords: very weak solutions; elliptic system; a priori estimates; regularity.
AMS Subject classification: Primary: 35J55, 35J65 Secondary: 35B33, 35B45, 35B65
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