In this paper, we study the multiplicity and concentration of positive solutions for following (p, q)-Laplacian problem: $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta _{p} u _{q} +V(\varepsilon x) \left( |u|^{p-2}u + |u|^{q-2}u\right) = f(u) &{} \text{ in } {\mathbb {R}}^{N}, \\ u\in W^{1, p}({\mathbb {R}}^{N})\cap q}({\mathbb {R}}^{N}), \quad u>0 \end{array} \right. \end{aligned}$$ where...

Using the renormalization group approach, the Coulomb gas and the coset techniques, the effect of slightly relevant perturbations is studied for the second parafermionic field theory with the symmetry Z5. New fixed points are found and classified. ∗ Unité Mixte de Recherche UMR 7589 While the first series of parafermionic conformal field theories [1] is well studied and applied in various domai...

Choices between gambles show systematic violations of stochastic dominance. For example, most people choose ($6, .05; $91, .03; $99, .92) over ($6, .02; $8, .03; $99, .95), violating dominance. Choices also violate two cumulative independence conditions: (1) If S 5 (z, r; x, p; y, q) s R 5 (z, r; x8, p; y', q) then S9 5 (x8, r; y, p 1 q) s R9 5 (x8, r 1 p; y8, q). (2) If S8 5 (x, p; y, q; z8, r...

Let E be an elliptic curve over Q and p be a prime of good supersingular reduction for E. Although the Iwasawa theory of E over the cyclotomic Zp-extension of Q is well known to be fundamentally different from the case of good ordinary reduction at p, we are able to combine the method of our earlier paper with the theory of Kobayashi [5] and Pollack [8], to give an explicit upper bound for the ...

The hydrogen abstraction reaction of OH radical with CH3CH2OCF2CHF2 (HFE-374pc2) is investigated theoretically by semi-classical transition state theory. The stationary points on the potential energy surface of the reaction are located by using KMLYP density functional method along with 6-311++G(d,p) basis set. Vibrational anharmonicity coefficients, ...

We construct an invariant deformation retract of a deformation space of G–trees. We show that this complex is finite dimensional in certain cases and provide an example that is not finite dimensional. Using this complex we compute the automorphism group of the classical non-solvable Baumslag–Solitar groups BS(p, q). The most interesting case is when p properly divides q. Collins and Levin compu...