Abstract:
Emissions of greenhouse gases from electricity production should be reduced since climate change has became a big concern in developed countries. Carbon footprint is used as environmental index measuring the emissions that have effect on global warming and shows that secondary footprint has an important relevance in the final emission factor. To achieve sustainability in electricity production is required the consideration and evaluation of all relevant environ- mental impacts at the same time. Reduction in CO2 emissions is justified since clean combustion is achieved and global warming is the main contributor to global impacts.

Abstract:
We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partialdifferential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying suitable hypotheses.

Abstract:
We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations in the setting of the weighted Sobolev spaces . 1. Introduction In this paper we prove the existence of (weak) solutions in the weighted Sobolev spaces for the homogeneous Dirichlet problem: where is the partial differential operator: where is a bounded open set in ( ), and are two weight functions, and the functions , , and are Carathéodory functions. By a weight, we will mean a locally integrable function on such that for a.e. . Every weight ( ) gives rise to a measure on the measurable subsets on through integration. This measure will be denoted by . Thus, ( ) for measurable sets . In general, the Sobolev spaces without weights occur as spaces of solutions for elliptic and parabolic partial differential equations. For degenerate partial differential equations, that is, equations with various types of singularities in the coefficients, it is natural to look for solutions in weighted Sobolev spaces (see [1–4]). A class of weights, which is particularly well understood, is the class of -weights (or Muckenhoupt class) that was introduced by Muckenhoupt (see [5]). These classes have found many useful applications in harmonic analysis (see [6, 7]). Another reason for studying -weights is the fact that powers of distance to submanifolds of often belong to (see [8]). There are, in fact, many interesting examples of weights (see [4] for -admissible weights). Equations like (1.1) have been studied by many authors in the nondegenerate case (i.e., with ) (see, e.g., [9] and the references therein). The degenerate case with different conditions has been studied by many authors. In [2] Drábek et al. proved that under certain condition, the Dirichlet problem associated with the equation , has at least one solution , and in [1] the author proved the existence of solution when the nonlinear term is equal to zero. Firstly, we prove an estimate for the bounded solutions of : we assume that , with (where as in Theorem 2.5), and we prove that any that solves satisfies , where depends only on the data, that is, , and . After that, we prove the existence of solution for problem if , with . Note that, in the proof of our main result, many ideas have been adapted from [9–11]. The following theorem will be proved in Section 3. Theorem 1.1. Let and be -weights, , with . Suppose the following. (H1) is measurable in for all : is continuous in for almost all . (H2) , whenever , .(H3) , with , where .(H4) , where , and are positive functions, with and ,

Abstract:
In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations

Abstract:
El problema profiláctico, higiénico, terapéutico y de la asistencia a los psicópatas y alienados, abarca hoy una serie de grados o etapas, que permiten afrontarle y resolverle en su conjunto.

Abstract:
In this paper we prove a existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form where are functions satisfying suitable hypotheses. Here the operator is not uniformly elliptic, but is assume that the following condition is true where is a weight function.

Abstract:
In this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.

Abstract:
A method for the determination of yeast activity (gas production) without taking into account the effects of other factors related to dough rising was tested varying fermentation conditions. In this method, the sugar in a liquid broad is fermented by yeastis fermented in a liquid broad and a flow of nitrogen is passed through the fermenting liquid to a pair of flasks with a solution of sodium hydroxide. Carbon dioxide is quantified by back titration. When the effects of nutrient types, weight amount and type of yeast, temperature and time of fermentation on gas production capacity of baker`s yeast were determined, the method proposed showed good repeatability and precision.