On the double layer potential ansatz for the n-dimensional Helmholtz equation with Neumann condition

In the present paper we consider the Neumann problem for the ndimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of double layer potentials

On the Dirichlet problem for the Stokes system in multiply connected domains

The Dirichlet problem for the Stokes system in a multiply connected domain of R^n (n ≥ 2) is considered in the present paper. We give the necessary and sufficient conditions for the representability of the solution by means of a simple layer hydrodynamic potential, instead of the classical double layer hydrodynamic potential

A complement to potential theory in the Cosserat elasticity

In this paper we investigate the internal second, third and fourth boundary value problems of the three-dimensional Cosserat elasticity by means of potential theory. The obtained integral representations differ from the classical ones. These results complete the ones related to the first BVP, which have recently been obtained by the authors

Integral representations for solutions of some BVPs for the Lamé system in multiply connected domains

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On an integral equation of the first kind arising in the theory of Cosserat

In this paper we study an integral equation of the first kind concerning an indirect boundary integral method for the Dirichlet problem in the theory of Cosserat continuum. Our method hinges on the theory of reducible operators and on the theory of differential forms

On the double layer potential ansatz for the nn-dimensional Helmholtz equation with Neumann condition

In the present paper we consider the Neumann problem for the $n$-dimensional Helmholtz equation. In particular we deal with the problem of representability of the solutions by means of double layer potentials

Paternal Age Alters Social Development in Offspring

Objective Advanced paternal age (APA) at conception has been linked with autism and schizophrenia in offspring, neurodevelopmental disorders that affect social functioning. The current study explored the effects of paternal age on social development in the general population. Method We used multilevel growth modeling to investigate APA effects on socioemotional development from early childhood until adolescence, as measured by the Strengths and Difficulties Questionnaire (SDQ) in the Twins Early Development Study (TEDS) sample. We also investigated genetic and environmental underpinnings of the paternal age effects on development, using the Additive genetics, Common environment, unique Environment (ACE) and gene–environment (GxE) models. Results In the general population, both very young and advanced paternal ages were associated with altered trajectory of social development (intercept: p = .01; slope: p = .03). No other behavioral domain was affected by either young or advanced age at fatherhood, suggesting specificity of paternal age effects. Increased importance of genetic factors in social development was recorded in the offspring of older but not very young fathers, suggesting distinct underpinnings of the paternal age effects at these two extremes. Conclusion Our findings highlight that the APA-related deficits that lead to autism and schizophrenia are likely continuously distributed in the population