We establish several results related to existence, nonexistence or bifurcation of positive solutions for the boundary value problem −∆u + K(x)g(u) + |∇u| a = λf (x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ R N (N ≥ 2) is a smooth bounded domain, 0 < a ≤ 2, λ is a positive parameter, and f is smooth and has a sublinear growth. The main feature of this paper consists in the presence of the singular nonlin...

In this paper we consider the following Schrödinger–Kirchhoff–Poisson-type system { − ( <mml...

We establish the existence/nonexistence and multiplicity of nontrivial nonnegative solutions for the following 0-Dirichlet problem with mean curvature operator in the Minkowski space  −div ( ∇u √ 1−|∇u|2 ) = λf(x, u) in Ω, u = 0 on ∂Ω, where Ω is a general bounded domain of RN . By bifurcation and topological methods, we determine the interval of parameter λ in which the above problem has zer...

We develop an exponentially convergent distributed algorithm to minimize a sum of nonsmooth cost functions with set constraint. The constraint generally leads the nonlinearity in algorithms, and results difficulties derive exponential rate. In this article, we remove consensus constraints by exact penalty method, then propose projected subgradient virtue differential inclusion differentiated pr...

Compactons are studied in the framework of Korteweg-de Vries (KdV) equation with sublinear nonlinearity. represent localized bell-shaped waves either polarity which propagate to same direction as linear KdV equation. Their amplitude and width inverse proportional their speed. The energetic stability compactons respect symmetric compact perturbations support is proven analytically. Dynamics nume...

In this paper we provide‎ ‎existence results for positive solution to‎ ‎Dirichlet p(t)-Laplacian boundary value problems‎. ‎The sublinear and‎ ‎superlinear cases are considerd‎.

We investigated summation of steady excitatory and inhibitory inputs in spinal motoneurons using an in vivo preparation, the decerebrate cat, in which neuromodulatory input from the brain stem facilitated a strong persistent inward current (PIC) in dendritic regions. This dendritic PIC amplified both excitatory and inhibitory synaptic currents two- to threefold, but within different voltage ran...

We consider an exact reduction of a model of Field Dislocation Mechanics to a scalar problem in one spatial dimension and investigate the existence of static and slow, rigidly moving single or collections of planar screw dislocation walls in this setting. Two classes of drag coefficient functions are considered, namely those with linear growth near the origin and those with constant or more gen...

In this paper, we are concerned with the following fractional Schrödinger-Poisson system:    (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with ...

The photo-induced enhancement of second harmonic generation and the effect of nanocrystal shape and pump intensity on confined acoustic phonons in semiconductor nanocrystals have been investigated with time-resolved scattering and absorption measurements. The second harmonic signal showed a sublinear increase of the second-order susceptibility with respect to the pump pulse energy, indicating a...