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    Nonlinear Boundary Value Problems via Minimization on Orlicz-Sobolev Spaces

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    We develop arguments on convexity and minimization of energy functionals on Orlicz-Sobolev spaces to investigate existence of solution to the equation \displaystyle -\mbox{div} (\phi(|\nabla u|) \nabla u) = f(x,u) + h \mbox{in} \Omega under Dirichlet boundary conditions, where ΩRN\Omega \subset {\bf R}^{N} is a bounded smooth domain, ϕ:(0,)(0,)\phi : (0,\infty)\longrightarrow (0,\infty) is a suitable continuous function and f:Ω×RRf: \Omega \times {\bf R} \to {\bf R} satisfies the Carath\'eodory conditions, while hh is a measure.Comment: 14 page

    Non-Linear Supersymmetric σ\sigma -Models and their Gauging in the Atiyah-Ward Space-Time

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    We present a supersymmetric non-linear \s-model built up in the N=1N=1 superspace of Atiyah-Ward space-time. A manifold of the K\"ahler type comes out that is restricted by a particular decomposition of the K\"ahler potential. The gauging of the \s-model isometries is also accomplished in superspace.Comment: 15 pages, Latex, no figure

    Hibridação intrespecífica em algodoeiro visando a seleção de cultivares com novas colorações de fibra.

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