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We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\Delta_p u = u^{q-1}$ in expanding annuli.
This paper is concerned with the existence and multiplicity ofsymmetric positive solutions for the following second-orderthree-point boundary value problem:u''(t)+a(t)f(t,u(t))=0, 0
Abstract: In this paper, we deal with the existence and multiplicity of solutions to the nonuniformly elliptic equation of the N-Lapalcian type with a potential and a nonlinear term of critical expone...
Divergence-free Lie algebras (also known as the special Lie algebras of Cartan type) are Lie algebras of volume-preserving transformation groups. They are simple in generic case. Dokovic and Zhao fo...
We prove the existence of infinitely many classical periodic solutions for a class of degenerate semilinear wave equations:utt − uxx + |u|s−1u = f(x, t),for all s > 1. In particular we pro...
In this paper we are concerned with the number of nonnegative solutions of the elliptic system $$ {array}{ll} -\Delta u = Q_u(u,v) + 1/2{2^*} H_u(u,v),& {in} \Omega,\vdois\ -\Delta v = Q_v(u,v) + 1/{2...
This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens a...
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajecto...
We show that in a cominuscule partial flag variety G/P,the multiplicity of an arbitrary point on a Richardson variety Xv w =Xw \ Xv  G/P is the product of its multiplicities on the Schubert varieties...
grande, pour une classe d’´equations semilin´eaires avec des conditions p´eriodiques sur le bord: utt − uxx = f(x, u),u(0, t) = u(, t) , ux(0, t) = ux(, t).Notre m´etho...
We prove spectral analogues of the classical strong multiplicity one theorem for newforms. Let 􀀀1 and 􀀀2 be uniform lattices in a semisim-ple group G. Suppose all but finitely many i...
It is known that the Schur expansion of a skew Schur function runs over the interval of partitions, equipped with dominance order, defined by the least and the most dominant Littlewood-Richardson fill...
In this paper, we study the growth of saturated powers of modules. In the case of an ideal I in a local ring (R,m), the saturation of Ik in R is (Ik)sat = Ik :R m ∞ = ∪∞n=1Ik :R m n.
We determine the invariants, with arbitrary determinant twists, of the par-abolic subgroups of the finite general linear group GLn(q) acting on the tensor product of the symmetric algebra S•(V )...

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