Annali dell''Universita di Ferrara最新文献

In this paper, we study the global existence of weak solutions for parabolic Kirchhoff-type problems of the following form:

where (Omega subset mathbb {R}^n), (pi _{ptheta }(x)=vert xvert ^{ptheta -2}x), (1le theta <frac{p_s^*}{p}), (2< p<frac{n}{s}), (0<s<1), (M: mathbb {R}^+rightarrow mathbb {R}^+) is a continuous function defined by (M(r)=r^{theta -1}) and ((-Delta )_p^s) is the fractional p-Laplacian operator. Based on the potential well method combined with the theory of Young measures and the Galerkin method, we obtain the existence of global solution.

A module C is said to have the SIP when the intersection of any pair of direct summands of C is also a summand of C. In this manuscript, we define (strongly) summand intersection property on c-closed submodules, for short (({SSIP}^{c})) ({SIP}^{c}) if and only if the intersection of any pair of c-closed direct summands of C is (fully invariant) summand of C. Also, we introduced strongly CCLS if each c-closed submodule of C is a "fully invariant summand". We illustrate the structural features of these modules and locate these implications among some of modules’ properties.

Suppose R is a non-commutative prime ring with char((R)ne 2). Suppose that (kappa left( x_{1}, ldots , x_{n}right) ) is a noncentral multilinear polynomial over C, (S={kappa (wp _1,ldots ,wp _n) mid wp _1,ldots ,wp _n in R}). If F, G and H are three generalized skew-derivations on R associated to the same automorphism (beta ) such that

for each (xi in S). Let (g_1,g_2,g_3 ) be the associated skew derivations respectively of H, F and G,  such that (g_1,g_2,g_3) are commuting with (beta ). Then we shall give the structure of H, F and G.

The present investigation provides several new inequalities for the p-numerical radii of Hilbert space operators. Furthermore, we present new results for the p-numerical radii of certain classes of operator matrices.

Let R be a prime ring with char ((R)ne 2), I be a nonzero ideal of R, (f(x_1,ldots ,x_n)) be a noncentral multilinear polynomial over extended centroid C and (0ne b'in R). Denote (f(I)={f(t_1,ldots ,t_n) | t_1,ldots ,t_nin I}). Suppose that F, G and H are three generalized derivations on R such that

for all (Vin f(I)). Then the structure of the maps F, G, H are described. This result naturally generalizes the results obtained by Carini and De Filippis in [Siberian Math. J. 53 (6) (2012), 1051-1060], Dhara and Argac in [Commun. Math. Stat. 4 (2016), 39-54] and completes the incomplete result of Tiwari in [Rend. Circ. Mat. Palermo, II. Ser 71 (2022), 207-223]. At the end of this paper an example is given to show that the primeness condition is not superfluous.

The Hilbert class field of the quaternion algebra B is an algebra ({mathscr {H}}(B)) such that every two-sided ideal of B is principal in ({mathscr {H}}(B)). We study the avatars of B and ({mathscr {H}}(B)), i.e. algebraic surfaces attached to the quaternion algebras. It is proved that the avatar of ({mathscr {H}}(B)) is obtained from the avatar of B by a birational map. We apply this result to the analogy between number fields and function fields.

In this paper, we obtain some inequalities involving linear differential operator N for polynomials over complex domain and study the dependence of modulus of (P(Rz)-beta P(rz)+delta { (frac{R+1}{r+1})^n-|beta |}P(rz)) for all complex numbers (alpha , beta ) and ( delta ) with (|alpha |ge 1, |beta |le 1, |delta |le 1) on the extreme values of |P(z)| over the boundary of unit circle after successive applications of (D_{alpha }) and N. Our results besides yielding some interesting inequalities as special cases also generalize recently obtained inequalities related to the content.

This research introduces novel center-like subsets, denoted as (C^{star }_{1} (mathfrak {S}, Gamma )), (C_{2} (mathfrak {S}, Gamma )), and (C^{star }_{2} (mathfrak {S}, Gamma )), where (mathfrak {S}) represents the ring and (Gamma ) denoted the (L,R)-generalized derivation. The study presents an innovative derivation for previously established center-like subsets and examines the interrelationships between these sets. Moreover, this investigation extends existing theorems by employing (L,R)-generalized derivations, in contrast to the conventional derivations utilized in prior research. The work also provides original proofs for a variety of center-like sets. To substantiate the necessity of the proposed hypotheses, the paper is supplemented with illustrative examples.

We study the following (pleft( .right) )-triharmonic problem

where (Omega ) is a smooth bounded domain in ( mathbb {R} ^N), and (lambda >0) is a parameter. Using some variational methods and compact embedding results for variable exponent third-order Sobolev space, we obtain the existence of weak solutions for the problem.

In this paper, we consider a truncated version for 1D porous-elasticity equations and established exponential decay results by incorporating damping mechanisms of time delay types acting partially on the system. Our approach is based on contribution by Ramos et al. (Appl Math Lett 101:106061, 2020). We proved that the exponential decay property holds regardless any relationship between coefficients of the system.