Annali dell''Universita di Ferrara最新文献

In this paper, we investigate the existence of infinitely many solutions for a class of p-Laplacian equations in (mathbb {R}^N) with sign-changing potentials, where the nonlinearity is sublinear and defined only locally near the origin. Compared with previous works, our assumptions are milder, more general, and less restrictive. Moreover, we provide an application through illustrative examples to demonstrate the practical relevance and applicability of the main theoretical results.

This research paper explores Parseval-Goldstein type relations associated with the Dunkl transform on (mathbb {R}^d) for a Coxeter group G. It investigates the properties of the Dunkl transform and its adjoint over Lebesgue spaces. An application to the Dunkl transform on (mathbb {R}) for (G=mathbb {Z}_2) is discussed. The results of this paper are illustrated by some examples.

In this paper, by using variational methods, the (mathbb {Z}_{2})-genus, and the Moser iteration technique, we study the following quasilinear Schrödinger equation:

where (N ge 3 ), ( tau ge 2 ), and the nonlinearity f(x, t) is sublinear in a neighborhood of ( t = 0.)

The aim of this note is to provide a complete proof of existence of isoperimetric sets in sub-Finsler Carnot groups, and to establish some properties of such sets.

In this paper, we study the initial-boundary value problem for the semilinear parabolic equation ((b(u))_t - Delta _X u = vert u vert ^{p-2}ulog (vert u vert )), where (X = (X_1, X_2, cdots , X_{m-1}, X_m)) is a system of real smooth vector fields that satisfy Hörmander’s condition, and (Delta _X = sum nolimits _{i=1}^nX_j^2) is a finitely degenerate elliptic operator. By using the Galerkin approximation, potential wells, and concavity methods, we show the global existence, exponential decay, and blow-up in finite time of solutions with subcritical or critical initial energy.

We study the postulation of 0-dimensional schemes given by unions of 2-superfat points in general position in the plane, i.e., the union of local schemes defined by the intersection of two distinct double lines. We prove that such schemes have good postulation, i.e., they have the expected Hilbert function. We also show the good postulation of such schemes when we add a general 3-fat point. Finally, we use these results to answer a peculiar kind of interpolation problem.

Recently, Nadji and Ahmia introduced the notion of t-Schur overpartitions and investigated their combinatorial and arithmetic properties. In this paper, we extend their work and establish several new congruence relations for t-Schur overpartitions. For example, for all (n ge 0) we prove

Our goal in this paper is to give several new A-operator semi-norm and A-numerical radius inequalities for sums of operators in a semi-Hilbert space. These inequalities improve some earlier related inequalities. In particular, some refinements of the triangle inequality are obtained, and bounds for the A-operator semi-norm and the A-numerical radius for sums of multiple operators are obtained.

The purpose of the present work is to study the necessary and sufficient condition in terms of the Dunkl transform ({mathcal {F}}_{k}(f)) on ({{mathbb {R}}}^{d}), to ensure that f belong either to one of the generalized Lipschitz classes (D_{alpha }^{m}) and (d_{alpha }^{m}) for (alpha >0).

This paper presents a novel iterative approach designed to approximate a unified solution for both split variational inclusion problem and fixed-point problem of finite family of nonexpansive mappings. Within the context of real Hilbert spaces, we establish and validate a strong convergence theorem to achieve this common solution. The method and results presented in this paper extend and unify some recent known results in this field. Finally, a numerical example is used to demonstrate the convergence analysis of the sequences generated by the iterative method.