Results 21 to 30 of about 1,653 (108)
High Order Riesz Transforms and Mean Value Formula for Generalized Translate Operator [PDF]
In this paper, the mean value formula depends on the Bessel generalized shift operator corresponding to the solutions of the boundary value problem related to the Bessel operator are studied.
Ekincioglu, I., Keskin, C., Sayan, H. H.
core +2 more sources
A Network Coding‐Based Braided Multipath Routing Protocol for Wireless Sensor Networks
In wireless sensor networks (WSNs), energy efficiency can simultaneously guarantee robustness to link loss and node failure and is a key design goal of routing protocols because WSNs are strongly constrained in terms of transmission reliability, transmission delay, and energy consumption.
Zhihua Li +4 more
wiley +1 more source
Instability of Vertical Constant Through Flows in Binary Mixtures in Porous Media with Large Pores
A binary mixture saturating a horizontal porous layer, with large pores and uniformly heated from below, is considered. The instability of a vertical fluid motion (throughflow) when the layer is salted by one salt (either from above or from below) is analyzed.
Florinda Capone +3 more
wiley +1 more source
We study the existence of nodal solutions for the following problem: −x″ = αx+ + βx− + ra(t)f(x), 0 < t < 1, x(0) = x(1) = 0, where r ≠ 0 is a parameter, a(t) ∈ C([0,1], (0, ∞)) with a(t)≢0 on any subinterval of [0,1], x+ = max{x, 0}, x− = −min{x, 0}, and α, β ∈ C[0,1]; f∈C(R,R), sf(s) > 0 for s ≠ 0, and f0, f∞ ∉ (0, ∞), where f0 = lim|s|→0f(s)/s and f∞
Wenguo Shen, Gabriele Bonanno
wiley +1 more source
A comparison between first‐order microscopic and macroscopic differential models of crowd dynamics is established for an increasing number N of pedestrians. The novelty is the fact of considering massive agents, namely, particles whose individual mass does not become infinitesimal when N grows.
Alessandro Corbetta +2 more
wiley +1 more source
A Local Estimate for the Maximal Function in Lebesgue Spaces with EXP‐Type Exponents
It is proven that if 1 ≤ p(·) < ∞ in a bounded domain Ω⊂Rn and if p(·) ∈ EXPa(Ω) for some a > 0, then given f ∈ Lp(·)(Ω), the Hardy‐Littlewood maximal function of f, Mf, is such that p(·)log(Mf) ∈ EXPa/(a+1)(Ω). Because a/(a + 1) < 1, the thesis is slightly weaker than (Mf) λp(·) ∈ L1(Ω) for some λ > 0. The assumption that p(·) ∈ EXPa(Ω) for some a > 0
Alberto Fiorenza, Henryk Hudzik
wiley +1 more source
Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
core +1 more source
Sturmian comparison and oscillation theorems for quasilinear elliptic equations with mixed nonlinearities via Picone-type inequality [PDF]
A Picone-type inequality is established for quasilinear elliptic operators with mixed nonlinearities, and Sturmian comparison and oscillation theorems for quasilinear elliptic equations are derived by using the Picone-type ...
Yoshida Norio
core +1 more source
Non-local Torsion functions and Embeddings
Given $s \in (0,1)$, we discuss the embedding of $\mathcal D^{s,p}_0(\Omega)$ in $L^q(\Omega)$. In particular, for $1\le q < p$ we deduce its compactness on all open sets $\Omega\subset \mathbb R^N$ on which it is continuous. We then relate, for all q up
Franzina, Giovanni
core +1 more source

