The energy-critical, focusing nonlinear Schrödinger equation in the nonradial case reads as follows: i∂tu = −∆u− |u| 4 N−2 u, u(x, 0) = u0 ∈ H(R ), N ≥ 3. Under a suitable assumption on the maximal strong solution, using a compactness argument and a virial identity, we establish the global well-posedness and scattering in the nonradial case, which gives a positive answer to one open problem pro...

We study the equation−∆pu+|x||u|u = |x|b|u|q−2u with Dirichlet boundary condition on B(0, R) or on R . We prove the existence of the radial solution and nonradial solutions of this equation.

Cell migration is fundamental to normal CNS development. Radial migration, along radial glial fibers, has been the principal pathway studied, however, nonradial or tangential cell migration has increasingly been identified at all levels of the CNS. Receptors, cell adhesion molecules, and extracellular matrix molecules have all been shown to participate in radial cell migration. In contrast, the...

Classic data envelopment analysis (DEA) models determine the efficiency of productive units, called decision making units (DMUs). DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorporate the preference of the decision maker. Later works propose obtaining alternative targets based...

The mammalian cerebral cortex is divided into functionally distinct areas. Although radial patterns of neuronal migration have been thought to be essential for patterning these areas, direct observation of migrating cells in cortical brain slices has revealed that cells follow both radial and nonradial pathways as they travel from their sites of origin in the ventricular zone out to their desti...

Abstract We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply positive or sign-changing components, and cooperative, competitive, mixed-interaction systems. As an application, we use derive upper bound for least possible a solution with prescribed number nonradial components.

A significant fraction of RR Lyrae stars exhibits amplitude and/or phase modulation known as the the Blazhko effect. The oscillation spectra suggest that, at least in most of the cases, excitation of nonradial modes in addition to the dominant radial modes is responsible for the effect. Though model calculations predict that nonradial modes may be excited, there are problems with explaining the...

We examine the influence of the Reynolds stress as the main contribution of turbulence on the oscillation frequencies of the solar p-modes. We regard the radial oscillations as well as the nonradial ones in order to study the influence depending on the degree l of the modes. For the radial modes we find that the influence of the turbulence gives corrections that reduce significantly the differe...

We prove the existence of a sequence of nondegenerate, in the sense of Duyckaerts-Kenig-Merle [9], nodal nonradial solutions to the critical Yamabe problem −∆Q = |Q| 2 n−2Q, Q ∈ D1,2(Rn). This is the first example in the literature of nondegeneracy for nodal nonradial solutions of nonlinear elliptic equations and it is also the only nontrivial example for which the result of Duyckaerts-Kenig-Me...

We study the existence and asymptotic behavior of solutions having positive sign-changing components to singularly perturbed system elliptic equations [Formula: see text] in a bounded domain text], with text]. If is unit ball we obtain prescribed combination nonradial exhibiting two different types as text]: whose limit profile rescaling solution uncoupled system, i.e. after translation, text]t...