J. Chabrowski  @= H=@E= IKJEI B = AEFJE? FH>A ELLEC ?HEJ E?= 5>AL ANFAJ

Abstract: We provide an explicit example of a nonlinear second order elliptic sys- tem of two equations in three dimension to compare two C 0,γ -regularity theories.. We show that,

Abstract: In this paper we prove a regularity result for very weak solutions of equations of the type −divA(x, u, Du) = B(x, u, Du), where A, B grow in the gradient like t p−1 and

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In particular, we show that for any subsolution of the Hamilton-Jacobi equation (∗) there exists a minimizing sequence weakly convergent to this subsolution. The variational problem

Keywords: Cech-Lebesgue dimension, height dimension of posets, dyadic expan- ˇ sion, rigged finite open covers, partition dimension. AMS Subject Classification:

Keywords: point of complete accumulation, linearly Lindel¨of space, local com- pactness, first countability, κ-accessible diagonal. AMS Subject Classification: 54F99,

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Here, we show that the complementability of L 1 (µ, X) in cabv(µ, X) together with that one of X in the bidual X ∗∗ is equivalent to the complementability of L 1 (µ, X) in its