Some existence results to the Dirichlet problem for the minimal hypersurface equation on non mean convex domains of a Riemannian manifold

We prove the existence of minimal hypersurfaces for the Dirichlet that extends a similar result of Jenkins and Serrin in Euclidean Space to Riemannian ambient manifold

Forecast Combinations

We consider combinations of subjective survey forecasts and model-based forecasts from linear and non-linear univariate specifications as well as multivariate factor-augmented models. Empirical results suggest that a simple equal-weighted average of survey forecasts outperform the best model-based forecasts for a majority of macroeconomic variables and forecast horizons. Additional improvements can in some cases be gained by using a simple equal-weighted average of survey and model-based forecasts. We also provide an analysis of the importance of model instability for explaining gains from forecast combination. Analytical and simulation results uncover break scenarios where forecast combinations outperform the best individual forecasting model.Factor Based Forecasts, Non-linear Forecasts, Structural Breaks, Survey Forecasts, Univariate Forecasts.

Forecast combinations

We consider combinations of subjective survey forecasts and model-based forecasts from linear and non-linear univariate specifications as well as multivariate factor-augmented models. Empirical results suggest that a simple equal-weighted average of survey forecasts outperform the best model-based forecasts for a majority of macroeconomic variables and forecast horizons. Additional improvements can in some cases be gained by using a simple equal-weighted average of survey and model-based forecasts. We also provide an analysis of the importance of model instability for explaining gains from forecast combination. Analytical and simulation results uncover break scenarios where forecast combinations outperform the best individual forecasting model

The Dirichlet problem for the minimal surface equation on unbounded helicoidal domains of Rm\mathbb{R}^{m}

We consider a helicoidal group $G$ in $\mathbb{R}^{n+1}$ and unbounded $G$-invariant $C^{2,\alpha}$-domains $\Omega\subset\mathbb{R}^{n+1}$ whose helicoidal projections are exterior domains in $\mathbb{R}^{n}$, $n\geq2$. We show that for all $s\in\mathbb{R}$, there exists a $G$-invariant solution $u_{s}\in C^{2,\alpha}\left( \overline{\Omega}\right)$ of the Dirichlet problem for the minimal surface equation with zero boundary data which satisfies $\sup_{\partial\Omega}\left\vert \operatorname{grad}u_{s}\right\vert =\left\vert s\right\vert$. Additionally, we provide further information on the behavior of these solutions at infinity

Dialogic functions of repair by lexical synonymy in the process of writing and rewriting of an opinion article

This article presents a study that aims to identify and analyze dialogic functions of repair by lexical synonymy in the process of writing and rewriting of an opinion article. The data were collected in the Research Laboratory entitled 'Workshop of Reading, Writing and Rewriting of Opinion Articles', an activity of the Research Group UTFPR-CNPq LAD'Humano, in 2015. The opinion articles were written by first term undergraduate students of the Letters Teacher Certification Program in Portuguese-English of the Federal University of Technology of Paraná, Brazil, Pato Branco Campus. The writing of the texts was recorded by the software AutoScreen Recorder and Inputlog. The analyses are mainly based on Bakhtin, Volosinov, and Vygotsky and show that repair by lexical synonymy has the dialogic functions of addressing the target audience of the text, of textual adjustment, of giving the desired content to discourse and of acting in the process of construction of the writer's image. As "the meaning of the word is completely determined by its context" (BAKHTIN/VOLOCHÍNOV, 2014, p.109), it is the verbal and extraverbal context of a certain word choice that will contribute or not to building the meaning intended by the writer, and that is why synonymy study in the process of writing is important