The existence of infinitely many classical radially symmetric solutions of the quasilinear elliptic problem f{u) + h(\x\) in BR, u = 0 on dBR) F(s) f is established assuming that the quotient (where F(s) = / f(£)d£ and A(s) = A(s) Jo rs 2 / £a(£)<^) exhibits an oscillatory behaviour at infinity, ./o MIRAMARE TRIESTE March 1996 1 Permanent Address: Department of Mathematics, University of Nigeri...

Properties of the category consisting of all objects of the form (X,S, λ) are investigated, where X is a convergence space, S is a commutative semigroup, and λ : X × S → X is a continuous action. A ”generalized quotient” of each object is defined without making the usual assumption that for each fixed g ∈ S, λ(., g) : X → X is an injection. 2000 AMS Classification: 54A20, 54B15, 54B30

Let S be an unramified regular local ring having mixed characteristic p > 0 and R the integral closure of S in a pth root extension of its quotient field. We show that R admits a finite, birational module M such that depth(M) = dim(R). In other words, R admits a maximal Cohen-Macaulay module.

For a proper action of a Lie group on a co-oriented contact manifold which preserves the contact structure, we show that the classical Marsden-Weinstein-Meyer symplectic reduction procedure extends naturally to the contact category, continuing the work of V. Guillemin, S. Sternberg, C. Albert, and H. Geiges ([GS1, Al, Ge]). With certain tranasverality and properness assumptions in place, the co...

For a proper action of a Lie group on a co-oriented contact manifold which preserves the contact structure, we show that the classical Marsden-Weinstein-Meyer symplectic reduction procedure extends naturally to the contact category, continuing the work of H. Geiges ([Ge]). With a certain regularity assumption in place, the contact quotient is shown to be naturally a contact manifold. More gener...

In this paper we introduce the smallest equivalence relation ξ∗ on a finite fuzzy hypergroup S such that the quotient group S/ξ∗, the set of all equivalence classes, is a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are presented.

In this paper, we prove that any BL-general fuzzy automaton (BL-GFA) and its quotient have the same behavior. In addition, we obtain the minimal quotient BL-GFA and minimal quotient transformation of the BL-GFA, considering the notion of maximal admissible partition. Furthermore, we show that the number of input symbols and time complexity of the minimal quotient transformation of a BL-GFA are ...

Background: There have been growing concerns about environmental pollution and public health issues associated with metal(loid)s and radionuclides. As a baseline for monitorisation, radioactivity and specific metal(loid) levels have been measured to investigate the estimated environmental health risks in Igdir province at the Turkish side of the border, in the vicinity of the Metsamor Nuclear P...