Automorphism subgroups for designs with $$\lambda =1$$ λ = 1

Designs, Codes and Cryptography - Given an integer $$k\ge 3$$ and a group G of odd order,  if there exists a 2-(v, k, 1)-design and if v is sufficiently large then there...     

Backward Stochastic Differential Equations Driven by G-Brownian Motion with Uniformly Continuous Coefficients in (y, z)

Journal of Theoretical Probability - In this paper, we investigate backward stochastic differential equations driven by G-Brownian motion with uniformly continuous coefficients in (y, z)....     

On Finite Groups Factorizable by Weakly Subnormal Subgroups

Siberian Mathematical Journal - Let $ G $ be a group. A subgroup $ H $ is weakly subnormal in  $ G $ if $ H=\langle A,B\rangle $ for some subnormal subgroup  $ A $ and...     

Cauchy problem for the Zakharov System Arising from Ion-Acoustic Modes with low regularity data

We prove local well-posedness results for the Zakharov System Arising from Ion-Acoustic Modes in two spacial dimension with large initial data in low regularity Sobolev space \(   (\dot{H}^1 \bigcup H^{\frac{1}{2}})\times L^2 \times H^{-1}  \).  Using ”derivative sharing”, the local well-posedness results in \( (\dot{H}^1 \bigcup H^{\frac{1}{2}-\delta})\times H^{\delta} \times H^{-1+\delta}\)  are also obtained, for any  0 \(\leq \delta \leq 1/2 \).     

Multiple solutions with sign information for superlinear (p, q)-equations

Positivity - We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian and with a Carathéodory reaction f(z, x) which is ( $$p-1$$ )-superlinear in $$x\in...     

A note on polydegree (n, 1) rational inner functions,slice matrices,and singularities

Archiv der Mathematik - We analyze certain compositions of rational inner functions in the unit polydisk $$\mathbb {D}^{d}$$ with polydegree (n, 1), $$n\in \mathbb {N}^{d-1}$$ , and...     

A New Characterization of Finite $ \sigma $ -Soluble $ P\sigma T $ -Groups

Siberian Mathematical Journal - We prove that  $ G $ is a finite $ \sigma $ -soluble group with transitive $ \sigma $ -permutability if and only if the following hold: (i) $ G $ possesses...     

On $ \sigma $ -Subnormality of Sylow Subgroups in a Finite Group

Siberian Mathematical Journal - Given an arbitrary partition  $ \sigma $ of the set of primes, we give some criteria for the $ \sigma $ -subnormality of a Sylow subgroup of...     

An extension of the Kakutani–Bohnenblust characterization of $$L^p$$ L p -spaces to $$p\in (0,\infty )$$ p ∈ ( 0 , ∞ )

Positivity - For $$p\in [1,\infty )$$ , S. Kakutani and H.F. Bohnenblust have given characterizations of $$L^p$$ as a Banach lattice. We generalize that result to $$p\in (0,\infty...     

Essentially Invertible Measurable Operators Affiliated to a Semifinite von Neumann Algebra and Commutators

Siberian Mathematical Journal - Suppose that a von Neumann operator algebra  $ {\mathcal{M}} $ acts on a Hilbert space  $ {\mathcal{H}} $ and $ \tau $...     

On critical exponent for the existence and stability properties of positive weak solutions for some nonlinear elliptic systems involving the (<Emphasis Type="Italic">p</Emphasis>, <Emphasis Type="Italic">q</Emphasis>)-Laplacian and indefinite weight function

This paper deals with the existence and stability properties of positive weak solutions to classes of nonlinear systems involving the (p,q)-Laplacian of the form

A note on the Lebesgue–Ljunggren–Nagell equation $$ax^2+b^{2m}=4y^n$$ a x 2 + b 2 m = 4 y n

Periodica Mathematica Hungarica - Let a,&nbsp;b be fixed positive integers such that $$2\not \mid {ab}$$ , $$\gcd (a,b)=1$$ and a is square-free, and let $$h(-a)$$ denote the class number of...     

On the integrability of the differential systems in dimension two and of the polynomial differential systems in arbitrary dimension

This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in \(R^n\) or \(C^n\) with \(n\geq 2\). We also&nbsp;provide an open question and some applications based on the existence of such first integrals. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;     

Multivalued Quasimöbius Mappings from Circle to Circle

Siberian Mathematical Journal - We prove that if a&nbsp;multivalued mapping&nbsp; $ F $ of circle to circle has the $ \eta $ -BAD property (bounded distortion of generalized angles with...     

Quasilinear parabolic problem with <Emphasis Type="Italic">p</Emphasis>(<Emphasis Type="Italic">x</Emphasis>)-laplacian: existence,uniqueness of weak solutions and stabilization

We discuss the existence and uniqueness of the weak solution of the following quasilinear parabolic equation

$$\left\{\begin{array}{ll}u_t-\Delta _{p(x)}u = f(x,u)&\quad \text{in }\quad Q_T \stackrel{{\rm{def}}}{=} (0,T)\times\Omega,\\u = 0 & \quad\text{on}\quad \Sigma_T\stackrel{{\rm{def}}}{=} (0,T)\times\partial\Omega,\\u(0,x)=u_0(x)& \quad \text{in}\quad \Omega \end{array}\right.\quad\quad (P_{T})$$

involving the p(x)-laplacian operator. Next, we discuss the global behaviour of solutions and in particular some stabilization properties.

     

Asymptotic behavior of the Cahn-Hilliard-Oono equation

Our aim in this article is to study the asymptotic behavior, in terms of finite-dimensional&nbsp;attractors, of the Cahn-Hilliard-Oono equation. This equation differs from the usual Cahn-Hilliard&nbsp;equation by the presence of a term of the form \( \epsilon u,\ \epsilon &gt;0\), which takes into account long-ranged interactions. In particular, we prove the existence of a robust family of exponential attractors as \(\epsilon\) goes to \(0\).     

Multiple Boundary Concentrating Solutions to Dirichlet Problem of Hénon Equation

Abstract  Let Ω be the unit ball centered at the origin in . We study the following problem

Cesàro matrix and (1, 1; r)-convex sequences

Positivity - This paper deals with (1,&nbsp;1;&nbsp;r)-convexity of sequences. First, we prove several results on the sets of (1,&nbsp;1;&nbsp;r)-convex sequences for various values...     

An application of Baker’s method to the Jeśmanowicz’ conjecture on primitive Pythagorean triples

Periodica Mathematica Hungarica - Let m, n be positive integers such that $$m&gt;n$$, $$\gcd (m,n)=1$$ and $$m \not \equiv n \pmod {2}$$. In 1956, L.&nbsp;Je?manowicz conjectured that...     

Lp(·)−Lq(·) Estimates for Some Convolution Operators with Singular Finite Measures

Analysis Mathematica - Let μ be the surface measure on ℝn+1 supported on the graph of $$\varphi ({y_1}, \ldots ,{y_n}) = {\left| {{y_1}} \right|^{{\beta _1}}} + \cdots + {\left| {{y_n}}...