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Estudiamos la existencia de soluciones del sistema elíptico no lineal Δu + |∇u| = p(|x|)f(v), Δv + |∇v| = q(|x|)g(u) en Ω que explotan en el borde. Aquí Ω es un dominio acotado de R o el espacio total. Las nolinealidades f y g son funciones continuas positivas mientras que los potenciales p y q son funciones continuas que satisfacen apropiadas condiciones de crecimiento en el infinito. Demostramos que las soluciones explosivas en el borde dejan de existir si f y g son sublineales. Esto se tiene...
We rigorously establish the existence of the limit
homogeneous constitutive law of a piezoelectric composite made of
periodically
perforated microstructures and whose reference configuration is a
thin shell with fixed thickness. We deal with an extension of the
Koiter shell model in which the three curvilinear coordinates of
the elastic displacement field and the electric potential are
coupled. By letting the size of the
microstructure going to zero and by using the periodic
unfolding method combined...
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