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Displaying 721 –
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Let (x,u,∇u) be a Lagrangian periodic of period 1 in
x1,...,xn,u. We shall study the non self intersecting
functions u: RnR minimizing ; non self intersecting means that, if u(x0 + k) + j = u(x0)
for some x0∈Rn and (k , j) ∈Zn × Z, then
u(x) = u(x + k) + jx. Moser has shown that each of these
functions is at finite distance from a plane
u = ρx and thus
has an average slope ρ; moreover, Senn has proven that it is
possible to define the average action of u, which is usually called since...
An averaging method for the second-order approximation of the values of the gradient of an arbitrary smooth function u = u(x 1, x 2) at the vertices of a regular triangulation T h composed both of rectangles and triangles is presented. The method assumes that only the interpolant Πh[u] of u in the finite element space of the linear triangular and bilinear rectangular finite elements from T h is known. A complete analysis of this method is an extension of the complete analysis concerning the finite...
By using averaging techniques, some oscillation criteria for quasilinear elliptic differential equations of second order
are obtained. These results extend and generalize the criteria for linear differential equations due to Kamenev, Philos and Wong.
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