Abstract This paper is concerned with the nonlinear Klein–Gordon–Maxwell systems. Unlike all known results in literature, Schrödinger operator $-\Delta +V$ − Δ + V allowed to be indefinite and weaker superlinear conditions are imposed instead of common 4-supe...

In this paper, we consider the Laplace equation with a class of indefinite superlinear boundary conditions. Superlinear elliptic problems can be expected to have multiple positive solutions by some case. Conducting spectral analysis for linearized eigenvalue problem at an unstable solution, find sufficient conditions ensuring that implicit function theorem is applicable one, and then deduce uni...

We study the following paradox associated with networks growing according to superlinear preferential attachment: superlinear preference cannot produce scale-free networks in the thermodynamic limit, but there are superlinearly growing network models that perfectly match the structure of some real scale-free networks, such as the Internet. We obtain an analytic solution, supported by extensive ...

The effect of dose and energy on postannealing defect formation for high energy ~mega-electron-volt! phosphorus implanted silicon has been studied using etch pit studies and transmission electron microscopy ~TEM!. Previous work has shown that after annealing there is a strong dependence of dislocation density threading to the surface on the implanted phosphorus dose and energy. A superlinear in...

An example of SDPs (semide nite programs) exhibits a substantial di culty in proving the superlinear convergence of a direct extension of the Mizuno-Todd-Ye type predictorcorrector primal-dual interior-point method for LPs (linear programs) to SDPs, and suggests that we need to force the generated sequence to converge to a solution tangentially to the central path (or trajectory). A Mizuno-Todd...

It is a widely held belief that supercompilation like partial evaluation is only capable of linear-time program speedups. The purpose of this paper is to dispel this myth. We show that supercompilation is capable of superlinear speedups and demonstrate this with several examples. We analyze the transformation and identify the most-specific generalization (msg) as the source of the speedup. Base...

In this paper optimal control problems governed by the wave equation with control constraints are analyzed. Three types of control action are considered: distributed control, Neumann boundary control and Dirichlet control, and proper functional analytic settings for them are discussed. For treating inequality constraints semismooth Newton methods are discussed and their convergence properties a...