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math.AP2019
New Examples on Lavrentiev Gap Using Fractals
Anna Kh. Balci, Lars Diening, Mikhail Surnachev
Zhikov showed 1986 with his famous checkerboard example that functionals with variable exponents can have a Lavrentiev gap. For this example it was crucial that the exponent had a…
math.AP2019
Higher Order Calderon-Zygmund Estimates for the p-Laplace Equation
Anna Kh. Balci, Lars Diening, Markus Weimar
The paper is concerned with higher order Calderon-Zygmund estimates for the -Laplace equation $$ -\textrm{div}(A(\nabla u)) := -\textrm{div}{(|\nabla u|^{p-2}\nabla u)}=-\textrm…