| 10/2005 |
Metric Compatible Covariant Derivatives Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.  rp-2005-10.pdf |
| 9/2005 |
Covariant Derivatives of Multivector and Extensor Fields Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr. rp-2005-9.pdf |
| 8/2005 |
Multivector and Extensor Fields on Smooth Manifolds Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr. rp-2005-8.pdf |
| 7/2005 |
Extensors in Geometric Algebra Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr. rp-2005-7.pdf |
| 6/2005 |
Metric and Gauge Extensors Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr. rp-2005-6.pdf |
| 5/2005 |
Geometric Algebras Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr. rp-2005-5.pdf |
| 4/2005 |
Non-radially Symmetric Solutions for a Superlinear Ambrosetti-Prodi Type Problem in a Ball Djairo G. Figueiredo, P. N. Srikanth, Sanjiban Santra Using a careful analysis of the Morse indices of the solutions obtained by using the Mountain Pass Theorem applied to the associated Euler-Lagrange functional acting both in the full space $H_0^1(\Omega)$ and in its subspace of radially symmetric functions we prove the existence of non-radially symmetric solutions of a problem of Ambrosetti-Prodi type in a ball. rp-2005-4.pdf |
| 3/2005 |
Asymptotically Linear Elliptic Problems in which the Nonlinearity Crosses at Least Two Eigenvalues Francisco O. V. de Paiva In this paper we establish the existence of multiple solutions for the semilinear elliptic problem\begin{eqnarray*}\begin{array}{ccl}-\Delta u = g(x,u) & {\rm in} & \Omega\\ u = 0\ \ & {\rm on} & \partial \Omega,\end{array}\end{eqnarray*}where $\Omega \subset \mathbb{R}^N$ is a bounded domain with smooth boundary $\partial \Omega$, $g:\Omega\times\mathbb{R}\to \mathbb{R}$ is a function of class $C^1$ such that $g(x,0)=0$ andwhich is asymptotically linear at infinity. rp-2005-3.pdf |
| 2/2005 |
Multiple Sign Changing Solutions to Semilinear Elliptic Problems Francisco O. V. de Paiva In this paper we establish the existence of multiple sign changingsolutions for the semilinear elliptic problem\begin{eqnarray*}\begin{array}{ccl}-\Delta u = g(u) & {\rm in} & \Omega\\ u = 0\ \ & {\rm on} & \partial \Omega,\end{array}\end{eqnarray*}where $\Omega \subset \mathbb{R}^N$ is a bounded domain with smooth boundary $\partial \Omega$, $g:\mathbb{R}\to \mathbb{R}$ is a function of class $C^1$ such that $g(0)=0$ and which issuperlinear or asymptotically linear at infinity. rp-2005-2.pdf |
| 1/2005 |
A Bootstrap Test for the Expectation of Fuzzy Random Variables M. D. Jiménez-Gamero, R. Pino-Mejías, Marko A. Rojas-Medar We consider the problem of testing a single hypothesis about the expectation of a fuzzy random variable. For this purpose we take as test statistic a distance between the sample mean and the mean in the null hypothesis. We show that the test rejecting the null hypothesis for large values of the test statistic is consistent. We also prove that the bootstrap can be employed to consistently approximate the null distribution of the test statistic. Finally, we study the finite sample performance of the proposed approximation and compare it with others by means of a simulation study. rp-2005-1.pdf |
