https://revistaschilenas.uchile.cl/handle/2250/42131 \([0-9]{4}\) Sun, 04 Oct 2026 06:02:08 GMT 2026-10-04T06:02:08Z https://revistaschilenas.uchile.cl:443/bitstream/id/9cca8b2e-5eb1-4ec4-88ba-7fa5292d4aaf/ https://revistaschilenas.uchile.cl/handle/2250/42131 https://revistaschilenas.uchile.cl/handle/2250/256515 Weighted homogeneous map germs of corank one from C³ to C³ and polar multiplicities For quasi-homogeneous and finitely determined corank one map germs f : (C³,0)?(C³,0) we obtain formulae in function of the degree and weight of f for invariantes on the stable types of f, as polar multiplicities, number of Milnor, number of Lê. We minimize also the number of invariantes for 7, to resolve the problem that decides the Whitney equisingularity of families of such maps germs. To finalize use these formulae to increase the list of invariants of some normal forms of f. https://revistaschilenas.uchile.cl/handle/2250/256515 https://revistaschilenas.uchile.cl/handle/2250/256516 Critical points theorems and applications https://revistaschilenas.uchile.cl/handle/2250/256516 https://revistaschilenas.uchile.cl/handle/2250/256513 Periodic strong solutions of the magnetohydrodynamic type equations We obtain, using the spectral Galerkin method together with compactness arguments, existence and uniqueness of periodic strong solutions for the magnetohydrodynamic type equations. https://revistaschilenas.uchile.cl/handle/2250/256513 https://revistaschilenas.uchile.cl/handle/2250/256514 The homotopy type of invariant control set Let G be a noncompact semi-simple Lie group, consider S a semigroup which contains a large Lie semigroup. We computer the homotopy type ??(C), where C is the invariant control set of the homogeneous space G=P with P ? G a parabolic subgroup of G. https://revistaschilenas.uchile.cl/handle/2250/256514