Relatórios de Pesquisa

12/2005 Riemann and Ricci Fields in Geometric Structures
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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11/2005 Derivative Operators in Metric and Geometric Structures
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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10/2005 Metric Compatible Covariant Derivatives
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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9/2005 Covariant Derivatives of Multivector and Extensor Fields
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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8/2005 Multivector and Extensor Fields on Smooth Manifolds
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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7/2005 Extensors in Geometric Algebra
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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6/2005 Metric and Gauge Extensors
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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5/2005 Geometric Algebras
Antonio M. Moya, Virginia V. Fernández, Waldyr A. Rodrigues Jr.
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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.


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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.


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