We construct R-charged adS bubbles in D = 5, N = 8 supergravity. These bubbles are charecterised by four parameters. The asymptotic boundary of these solutions are deSitter times a circle. By comparing boundary energies, we study the possibility of a transition from certain class of black holes to these bubbles below a critical radius of the boundary circle. We argue that this may occur when fo...

The notion of causal operators is extended to periodic boundary value problems with nonlinear boundary conditions in this paper. By utilizing the monotone iterative technique and the method of lower and upper solutions (resp. weakly coupled lower and upper solutions), we establish the existence of the extremal solutions (resp. weakly coupled extremal quasi-solutions) for nonlinear periodic boun...

We describe how the nonlinear development of the R-mode instability of neutron stars influences spin up to millisecond periods via accretion. When nearly resonant interactions of the l = m = 2 R-mode with pairs of ”daughter modes” are included, the R-mode saturates at the lowest amplitude which leads to significant excitation of a pair of modes. The lower bound for this threshold amplitude is p...

A connected plane graph taken with its interior faces forms an (r, q)-polycycle if the interior faces are all r-gons (where r = const > 3), while all interior vertices are of the maximal possible degree, denoted by q (where q = const > 3); see [1]. Any finite (r, q)-polycycle is homeomorphic to a disc and its boundary is homeomorphic to a circle. The cyclic sequence q1q2 . . . qm formed by the ...

background: although upper-extremity disability correlates with psychosocial aspects of illness the association with sleep disturbance in upper extremity disability is less certain. to evaluate whether sleep disturbance is associated with upper-extremity disability among patients with upper extremity illness, accounting for sociodemographic, condition-related, and psychosocial factors. methods:...

Let $$M^n=[0,R]\times \mathbb {S}^{n-1}$$ be an n-dimensional ( $$n\ge 2$$ ) smooth Riemannian manifold equipped with the warped product metric $$g=dr^2+h^2(r)g_{\mathbb {S}^{n-1}}$$ and diffeomorphic to a Euclidean ball. Assume that M has strictly convex boundary. First, for classical Steklov eigenvalue problem, we obtain optimal lower (upper, respectively) bound its spectrum in terms of $$h'(...

This paper focuses on the boundary layer phenomenon arising in the study of singularly perturbed differential equations. Our tools include the method of lower and upper solutions combined with analysis of the integral equation associated with the class of nonlinear equations under consideration. Key words and phrases: singularly perturbed systems, three–point boundary value problem, method of l...