Optimal L^p-Riemannian Gagliardo-Nirenberg inequalities

Let (M,g) be a compact Riemannian manifold of dimension n \geq 2. In this work we prove the validity of the optimal L^p-Riemannian Gagliardo-Nirenberg inequality for 1 < p \leq 2. Our proof relies strongly on a new distance lemma which. In particular, we extend L^p-Euclidean Gagliardo-Nirenberg inequalities due to Del Pino and Dolbeault and the optimal L^2-Riemannian Gagliardo-Nirenberg inequality due to Broutteland in a unified framework.Comment: 23 pages. To appear in Mathematische Zeitschrif

Using Functional Programming to recognize Named Structure in an Optimization Problem: Application to Pooling

Branch-and-cut optimization solvers typically apply generic algorithms, e.g., cutting planes or primal heuristics, to expedite performance for many mathematical optimization problems. But solver software receives an input optimization problem as vectors of equations and constraints containing no structural information. This article proposes automatically detecting named special structure using the pattern matching features of functional programming. Specifically, we deduce the industrially-relevant nonconvex nonlinear Pooling Problem within a mixed-integer nonlinear optimization problem and show that we can uncover pooling structure in optimization problems which are not pooling problems. Previous work has shown that preprocessing heuristics can find network structures; we show that we can additionally detect nonlinear pooling patterns. Finding named structures allows us to apply, to generic optimization problems, cutting planes or primal heuristics developed for the named structure. To demonstrate the recognition algorithm, we use the recognized structure to apply primal heuristics to a test set of standard pooling problems

Equivalence of optimal L1L^1-inequalities on Riemannian Manifolds

Let $(M,g)$ be a smooth compact Riemannian manifold of dimension $n \geq 2$. This paper concerns to the validity of the optimal Riemannian $L^1$-Entropy inequality $${\bf Ent}_{dv_g}(u) \leq n \log \left(A_{opt} \|D u\|_{BV(M)} + B_{opt}\right)$$ for all $u \in BV(M)$ with $\|u\|_{L^1(M)} = 1$ and existence of extremal functions. In particular, we prove that this optimal inequality is equivalent a optimal $L^1$-Sobolev inequality obtained by Druet [6].Comment: To appear in Journal of Mathematical Analysis and Its Applications (JMAA

Estimativa do custo de produção do milho safrinha, 2006, para Mato Grosso do Sul e Mato Grosso.

bitstream/item/24680/1/COT2005112.pdfDocumento on-line

Palha e pasto com milho safrinha em consórcio com braquiária.

O cultivo em consórcio é uma prática antiga, Oem que numa mesma área são implantadas duas ou mais espécies, possibilitando aumento de produtividade. Nas condições do Cerrado, em especial para Mato Grosso do Sul, o cultivo de milho safrinha com braquiária é uma alternativa econômica, tendo demonstrado eficiência na formação de palha e pasto no outono-inverno.bitstream/item/38835/1/FOL200730.pd