This short communication presents a new technique for evaluation of adsorption equilibrium in the liquid phase using headspace chromatography. The technique may be used in two different modes: single-component equilibrium (the "finite bath" mode) and the multicomponent selectivity mode. Illustrative experimental results are presented for xylenes adsorption on Y zeolite pellets

In this paper we study a general eigenvalue problem for the so called (p, 2)-Laplace operator on a smooth bounded domain Ω ⊂ ℝN under a nonlinear Steklov type boundary condition, namely \[\left\{ \begin{aligned} -\Delta_pu-\Delta u & =\lambda a(x)u \quad {\rm in}\ \Omega,\\ (|\nabla u|^{p-2}+1)\dfrac{\partial u}{\partial\nu} & =\lambda b(x)u \quad {\rm on}\ \partial\Omega . \end{aligned} \right.\] For positive weight functions a and b satisfying appropriate integrability and boundedness assumptions, we show that, for all p>1, the eigenvalue set consists of an isolated null eigenvalue plus a continuous family of eigenvalues located away from zero.

Suppose −A admits a bounded H ∞ -calculus of angle less than π / 2 on a Banach space E which has Pisier's property (α), let B be a bounded linear operator from a Hilbert space H into the extrapolation space E −1 of E with respect to A, and let W H denote an H-cylindrical Brownian motion. Let γ(H, E) denote the space of all γ-radonifying operators from H to E. We prove that the following assertions are equivalent:(a) the stochastic Cauchy problem dU (t) = AU (t) dt + B dW H (t) admits an invariant measure on E;(c) the Gaussian sum n∈Z γn2 n / 2 R(2 n , A)B converges in γ(H, E) in probability. This solves the stochastic Weiss conjecture of [7].

In this paper we study a Dirichlet-to-Neumann operator with respect to a second order elliptic operator with measurable coefficients, including first order terms, namely, the operator on L 2 (∂Ω) given by ϕ → ∂νu where u is a weak solution ofUnder suitable assumptions on the matrix-valued function a, on the vector fields b and c, and on the function d, we investigate positivity, sub-Markovianity, irreducibility and domination properties of the associated Dirichlet-to-Neumann semigroups.

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