AbstractLet n and r be positive integers with 1≤r≤n−1. Solving a problem of Chiaselotti–Marino–Nardi, which is a generalization of a problem of Manickam and Miklós, we prove that for each integer q with 2n−1+1≤q≤2n−2n−r+1 there exists an n-tuple (a1,…,an) of integers such that ∑i=1nai≥0, a1,…,ar≥0,ar+1,…,an<0 and there are exactly q subsets X of {1,…,n} with ∑i∈Xai≥0
AbstractLet (Cn)n⩾0 be the Lucas sequence Cn+2=aCn+1+bCn for all n⩾0, where C0=0 and C1=1. For 1⩽k⩽m...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
We study the problem of the (p-)capacity cp of a multiconnected configuration Ω = (G E) (∪ Hi) whe...
AbstractLet X be a finite set with n elements. A function f: X −→R such that ∑x∈Xf(x) ≥ 0 is called ...
AbstractLet A be a set of nonnegative integers. For h≥2, denote by hA the set of all the integers re...
Let m,n be positive integers with 1 nδ and n>(8× 1016(log(1016/θ3))3/θ3)1/θ, where θ=min(1-δ, 2δ-1),...
AbstractIn this paper we prove some new existence results of nontrivial solutions for classes of ell...
AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p...
AbstractTwo existence results for a class of obstacle problems are obtained by using a result develo...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractLet A1,…,An be finite subsets of a field F, and letf(x1,…,xn)=x1k+⋯+xnk+g(x1,…,xn)∈F[x1,…,xn...
AbstractIn this note, we consider the quasilinear elliptic equation ±Δpu=h(x)um+H(x)un in RN (N⩾3), ...
AbstractLet ai,j(n) denote the number of walks in n steps from (0,0) to (i,j), with steps (±1,0) and...
AbstractIn this paper, we study the existence of multiple positive solutions to some Hamiltonian ell...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractLet (Cn)n⩾0 be the Lucas sequence Cn+2=aCn+1+bCn for all n⩾0, where C0=0 and C1=1. For 1⩽k⩽m...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
We study the problem of the (p-)capacity cp of a multiconnected configuration Ω = (G E) (∪ Hi) whe...
AbstractLet X be a finite set with n elements. A function f: X −→R such that ∑x∈Xf(x) ≥ 0 is called ...
AbstractLet A be a set of nonnegative integers. For h≥2, denote by hA the set of all the integers re...
Let m,n be positive integers with 1 nδ and n>(8× 1016(log(1016/θ3))3/θ3)1/θ, where θ=min(1-δ, 2δ-1),...
AbstractIn this paper we prove some new existence results of nontrivial solutions for classes of ell...
AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p...
AbstractTwo existence results for a class of obstacle problems are obtained by using a result develo...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractLet A1,…,An be finite subsets of a field F, and letf(x1,…,xn)=x1k+⋯+xnk+g(x1,…,xn)∈F[x1,…,xn...
AbstractIn this note, we consider the quasilinear elliptic equation ±Δpu=h(x)um+H(x)un in RN (N⩾3), ...
AbstractLet ai,j(n) denote the number of walks in n steps from (0,0) to (i,j), with steps (±1,0) and...
AbstractIn this paper, we study the existence of multiple positive solutions to some Hamiltonian ell...
summary:In this note, we estimate the distance between two $q$-nomial coefficients $\bigl \lvert \bi...
AbstractLet (Cn)n⩾0 be the Lucas sequence Cn+2=aCn+1+bCn for all n⩾0, where C0=0 and C1=1. For 1⩽k⩽m...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
We study the problem of the (p-)capacity cp of a multiconnected configuration Ω = (G E) (∪ Hi) whe...
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