Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 235, Issue 2, Pages 397-417Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2007.01.008
Keywords
variable exponent Sobolev space; elliptic equation; boundary value problem; bounded generalized solution; global regularity
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We study the global C-1,C-alpha regularity of the bounded generalized solutions of the variable exponent elliptic equations in divergence form with both Dirichlet and Neumann boundary conditions. Our results are a generalization of the corresponding results in the constant exponent case. (c) 2007 Elsevier Inc. All rights reserved.
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