Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Multiple solutions for elliptic problems involving the p(x)-Laplacian
Get PDFMultiplicity of solutions for p(x)-Laplacian Dirichlet problems is investigated. The approach is based on the critical point theory. The ordinary case is pointed out
Riemann surfaces with a quasi large abelian group of automorphisms
Get PDFIn this work we classify all Riemann surfaces having a quasi large abelian group of automorphisms, i.e. having an abelian group of automorphisms of order strictly bigger than 2(g−1), where g denotes the genus of the Riemann surface
Erratum to: Second order evolution inclusions governed by sweeping process in Banach spaces
Get PDFWe show that a condition imposed in the assumptions of the main results of our paper leads to a problem. Then we explain how to overcome this problem
Existence results for a quasi-linear differential problem
Get PDFThe aim of this paper is to establish the existence of at least one non-trivial solution for Neumann quasi-linear problems. Our approach is based on variational methods
Subclasses of starlike functions associated with a fractional calculus operator involving Caputo\u27s fractional differentiation
Get PDFIn this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators descibed in the Caputo sense and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for functions in this new class. In particular, we obtain modified Hadamard product results for the function f(z) belongs to the new class in the unit disc
On Grüss type inequality for a hypergeometric fractional integral
No full textAim of the present paper is to investigate a new integral inequality of Grüss type for a hypergeometric fractional integral. Two main results are proved, the first one deals with Grüss type inequality using the hypergeometric fractional integral. The second result states another inequality regarding two synchronous functions
Boundary blow-up for nonlinear elliptic equations with general growth in the gradient: an approach via symmetrisation
Get PDFIn this paper we give a survey of some recent results obtained via symmetrization methods for solutions of elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a laplacian-type operator and H(x, u, Du) grows with respect to Du at most like |Du|q , 1 ≤ q ≤ 2. In particular, it is considered the case where the solution blows up on the boundary and some comparison results are illustrated. Also an isoperimetric inequality for the so-called “ergodic constant” is given and the connections with the homogeneous Dirichlet problem for the quoted equations are discussed
On twisted ordered monoid rings over quasi-Baer rings
Get PDFIn this paper we show that if M is an Ordered monoid then the twisted monoid ring R^T M is (left principally) quasi-Baer if and only if R is (left principally) quasi-Baer. Also if R is (left principally) quasi-Baer and G is an ordered group acting on R we give a necessary and sufficient condition for the crossed product R∗G to be (left principally) quasi-Baer
New strong colouring of hypergraphs
Get PDFWe define a new colouring for a hypergraph, in particular for a graph. Such a method is a partition of the vertex-set of a hypergraph, in particular of a graph. However, it is more intrinsically linked to the geometric structure of the hypergraph and therefore enables us to obtain stronger results than in the classical case. For instance, we prove theorems concerning 3-colourings, 4-colourings and 5-colourings, while we have no analogous results in the classical case. Moreover, we prove that there are no semi-hamiltonian regular simple graphs admitting a hamiltonian 1-colouring. Finally, we characterize the above graphs admitting a hamiltonian 2-colouring and a hamiltonian 3-colouring
Presentazione
No full textPapers communicated at the first International WorkshopVariational, Topological and Set-Valued Methodsfor Nonlinear Differential Problemsheld during April 14 –16 2010, at the Engineering Faculty of the University of Messina