We introduce the quasi-Hopf superalgebras which are Z2 graded versions of Drinfeld’s quasi-Hopf algebras. We describe the realization of elliptic quantum supergroups as quasi-triangular quasi-Hopf superalgebras obtained from twisting the normal quantum supergroups by twistors which satisfy the graded shifted cocycle condition, thus generalizing the quasi-Hopf twisting procedure to the supersymm...

In this article, we study a Kirchhoff type problem with a positive parameter λ,

In this article, we apply the Nehari manifold method to study the Kirchhoff type equation

For any simple connected undirected graph, it is well known that the Kirchhoff and multiplicative degree-Kirchhoff indices can be computed using the Laplacian matrix. We show that the same is true for the additive degree-Kirchhoff index and give a compact Matlab program that computes all three Kirchhoffian indices with the Laplacian matrix as the only input.

We consider the following nonlinearly perturbed version of the elliptic-parabolic system of Keller-Segel type: ∂tu−∆u +∇ · (u∇v) = 0, t > 0, x ∈ R, −∆v + v − v = u, t > 0, x ∈ R, u(0, x) = u0(x) ≥ 0, x ∈ R, where 1 < p < ∞. It has already been shown that the system admits a positive solution for a small nonnegative initial data in L1(R2) ∩ L2(R2) which corresponds to the local minimum of the as...

Abstract In this article, we study a class of new p ( x )-Kirchhoff problem without satisfying the Ambrosetti-Rabinowitz type growth condition. Under some suitable superliner conditions, introduce methods to show boundedness Cerami sequences. By using mountain pass lemma and symmetric lemma, prove that has nontrivial weak solution infinitely many solutions.