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ON PROJECTIVE THREEFOLDS OF GENERAL TYPE WITH SMALL POSITIVE GEOMETRIC GENUS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

In this paper we study the pluricanonical maps of minimal projective 3-folds of general type with geometric genus 1, 2 and 3. We go in the direction p......

ERGODIC MEASURES OF INTERMEDIATE ENTROPY FOR AFFINE TRANSFORMATIONS OF NILMANIFOLDS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (4)

In this paper we study ergodic measures of intermediate entropy for affine transformations of nilmanifolds. We prove that if an affine transformation ......

REFINED ASYMPTOTIC BEHAVIOR AND UNIQUENESS OF LARGE SOLUTIONS TO A QUASILINEAR ELLIPTIC EQUATION IN A BORDERLINE CASE

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

This paper is considered with the quasilinear elliptic equation Delta(p)u = b(x)f(u), u(x) > 0, x is an element of Omega, where Omega is an exterio......

AUTOMORPHISM GROUP AND TWISTED MODULES OF THE TWISTED HEISENBERG-VIRASORO VERTEX OPERATOR ALGEBRA

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (4)

We first determine the automorphism group of the twisted Heisenberg-Virasoro vertex operator algebra V-L(l(1)(23,) 0). Then, for any integer t > 1,......

CONTINUOUS SUBSONIC-SONIC FLOWS IN A TWO-DIMENSIONAL SEMI-INFINITELY LONG NOZZLE

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

This paper focuses on two-dimensional continuous subsonic-sonic potential flows in a semi-infinitely long nozzle with a straight lower wall and an upp......

PROPAGATION DYNAMICS OF NONLOCAL DISPERSAL EQUATIONS WITH INHOMOGENEOUS BISTABLE NONLINEARITY

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

This paper is concerned with the nonlocal dispersal equations with inhomogeneous bistable nonlinearity in one dimension. The varying nonlinearity cons......

LOCAL WELL-POSEDNESS OF PERTURBED NAVIER-STOKES SYSTEM AROUND LANDAU SOLUTIONS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (4)

For the incompressible Navier-Stokes system, when initial data are uniformly locally square integral, the local existence of solutions has been obtain......

AVERAGING PRINCIPLE ON INFINITE INTERVALS FOR STOCHASTIC ORDINARY DIFFERENTIAL EQUATIONS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (4)

In contrast to existing works on stochastic averaging on finite intervals, we establish an averaging principle on the whole real axis, i.e. the so-cal......

SOLVABILITY OF THE MATRIX EQUATION AX(2) = B WITH SEMI-TENSOR PRODUCT

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

We investigate the solvability of the matrix equation AX(2) = B in which the multiplication is the semi-tensor product. Then compatible conditions on ......

TRAVELING WAVE SOLUTION FOR A DIFFUSION SEIR EPIDEMIC MODEL WITH SELF-PROTECTION AND TREATMENT

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

A reaction-diffusion SEIR model, including the self-protection for susceptible individuals, treatments for infectious individuals and constant recruit......

A GENERALIZATION ON DERIVATIONS OF LIE ALGEBRAS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

We initiate a study on a range of new generalized derivations of finite-dimensional Lie algebras over an algebraically closed field of characteristic ......

TELESCOPING METHOD, SUMMATION FORMULAS, AND INVERSION PAIRS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (4)

Based on Gosper's algorithm, we present an approach to the telescoping of general sequences. Along this approach, we propose a summation formula and a......

CLASSIFICATION OF FINITE IRREDUCIBLE CONFORMAL MODULES OVER LIE CONFORMAL ALGEBRA W(a, b, r)

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

We study a family of non-simple Lie conformal algebras W(a, b, r) (a, b, r is an element of C) of rank three with free C[partial derivative]-basis {L,......

THE BREZIS-NIRENBERG TYPE DOUBLE CRITICAL PROBLEM FOR A CLASS OF SCHRODINGER-POISSON EQUATIONS

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (3)

In this paper, we study the following Schrodinger-Poisson equations with double critical exponents: {-Delta u = vertical bar u vertical bar(4)u + phi ......

GLOBAL STABILITY OF TRAVELING WAVES FOR A SPATIALLY DISCRETE DIFFUSION SYSTEM WITH TIME DELAY

期刊: ELECTRONIC RESEARCH ARCHIVE, 2021; 29 (4)

This article deals with the global stability of traveling waves of a spatially discrete diffusion system with time delay and without quasi-monotonicit......

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