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Vector bundles on rational homogeneous spaces

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2021; 200 (6)

We consider a uniform r-bundle E on a complex rational homogeneous space X and show that if E is poly-uniform with respect to all the special families......

On Sakaguchi-type result in projective spray geometry

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, ; ()

We know that there are infinitely many sprays of scalar curvature which cannot be induced by any (not necessary positive definite) Finsler metric. In ......

On optimal bound of Foschi's quadratic functional in higher-dimensional spheres

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, ; ()

In proving his theorem on global maximizers for the sphere adjoint Fourier restriction inequality, D. Foschi studied some quadratic functional and det......

Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, ; ()

Let K be affine, that is, K = {z = (x, y) is an element of Rn+m : y(1) = .... = y(m) = 0}. We compute the sharp constant of Hardy inequality related t......

The Yamabe operator and invariants on octonionic contact manifolds and convex cocompact subgroups of F4(-20)

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, ; ()

An octonionic contact (OC) manifold is always spherical. We construct the OC Yamabe operator on an OC manifold and prove its transformation formula un......

Analysis of a pseudo-parabolic equation by potential wells

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, ; ()

In this paper, we consider a pseudo-parabolic equation, which was studied extensively in recent years. We generalize and extend the existing results i......

Logarithmic difference lemma in several complex variables and partial difference equations

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2020; 199 (2)

In this paper, we mainly propose improvements of the logarithmic difference lemma for meromorphic functions in several complex variables and then inve......

The tangential k-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2020; 199 (2)

We construct the tangential k-Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of partial different......

Wave-breaking phenomena and persistence properties for the nonlocal rotation-Camassa-Holm equation

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2020; 199 (1)

Consideration in the present paper is a mathematical model proposed as an equation of long-crested shallow water waves propagating in one direction wi......

Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2020; 199 (5)

We prove a theorem of Leray-Hirsch type and give an explicit blow-up formula for Dolbeault cohomology on (not necessarily compact) complex manifolds. ......

A variational approach to the quaternionic Monge-Ampere equation

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2020; 199 (6)

In this paper, we use the variational method to solve the quaternionic Monge-Ampere equation when the right-hand side is a positive measure of finite ......

Stabilization in a two-dimensional attraction-repulsion Stokes system with consumption of chemoattractant

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 2020; 199 (6)

This paper is concerned with the following attraction-repulsion Stokes system nt+u center dot backward difference n=Delta n-chi backward difference ce......

Variational characterizations of xi-submanifolds in the Eulicdean space Rm+p

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 0; ()

xi-submanifold in the Euclidean space Rm+p is a natural extension of the concept of self-shrinker to the mean curvature flow in Rm+p. It is also a gen......

On the continuity of solutions to doubly singular parabolic equations

期刊: ANNALI DI MATEMATICA PURA ED APPLICATA, 0; ()

This paper considers certain quasilinear parabolic equations with one singularity which occurs in the time derivative. A model equation is t beta(u) -......

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