In this article we present local estimates for the gradient of solutions to elliptic equations with variable exponents. Under proper conditions on the coefficients, we prove that
for all weak solutions of
Submitted September 3, 2012. Published February 18, 2013.
Math Subject Classifications: 35J60, 35J70.
Key Words: Regularity; divergence; nonlinear; elliptic equation; gradient; variable exponent; p(x)-Laplacian.
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| Fengping Yao |
Department of Mathematics, Shanghai University
Shanghai 200444, China
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