Local Hölder estimates for general elliptic p(x)-Laplacian equations
Local Hölder estimates for general elliptic p(x)-Laplacian equations
In this paper we obtain the interior Hölder regularity of the gradients of weak solutions for general elliptic p(x) -Laplacian equations div (a (x,∇u)) = div |f| p(x)-2 f , under some proper assumptions on a and the Hölder continuous functions p,f .