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LARGE DEVIATIONS FOR TOP EIGENVALUES OFβ-JACOBI ENSEMBLES AT SCALING TEMPERATURES
《Acta Mathematica Scientia》2023年第4期1767-1780,共14页雷良贞 马宇韬 
supported by the NSFC (12171038,11871008);985 Projects.
Letλ=(λ_(1),…,λ_(n))beβ-Jacobi ensembles with parameters p_(1),p_(2),n andβ,withβvarying with n.Set■.Suppose that■and 0≤σγ<1.We offer the large deviation for p_(1)+p_(2)/p_(1)■λ_(i)whenγ>0 via the large...
关键词：β-Jacobi ensemble large deviation Wachter law extremal eigenvalue 
ESTIMATES FOR EXTREMAL VALUES FOR A CRITICAL FRACTIONAL EQUATION WITH CONCAVE-CONVEX NONLINEARITIES
《Acta Mathematica Scientia》2022年第3期903-918,共16页Jianghao HAO Yajing ZHANG 
supported by National Natural Science Foundation of China(11871315);Natural Science Foundation of Shanxi Province of China(201901D111021)。
In this paper we study the critical fractional equation with a parameter λ and establish uniform lower bounds for Λ, which is the supremum of the set of λ, related to the existence of positive solutions of the crit...
关键词：Multiple positive solutions fractional Laplace problems critical growth 
ARBITRARILY SMALL NODAL SOLUTIONS FOR PARAMETRIC ROBIN(p,q)-EQUATIONS PLUS AN INDEFINITE POTENTIAL
《Acta Mathematica Scientia》2022年第2期561-574,共14页Salvatore LEONARDI Nikolaos S.PAPAGEORGIOU 
supported by Piano della Ricerca di Ateneo 2020-2022-PIACERIProject MO.S.A.I.C;"Monitoraggio satellitare,modellazioni matematiche e soluzioni architettoniche e urbane per lo studio,la previsione e la mitigazione delle isole di calore urbano",Project EEEP&DLaD.S。
We consider a nonlinear Robin problem driven by the(p,q)-Laplacian plus an indefinite potential term and with a parametric reaction term.Under minimal conditions on the reaction function,which concern only its behavio...
关键词：(p q)-Laplacian indefinite potential nonlinear regularity extremal constant sign solutions nodal solutions 
REVISITING A NON-DEGENERACY PROPERTY FOR EXTREMAL MAPPINGS
《Acta Mathematica Scientia》2021年第6期1829-1838,共10页Xiaojun HUANG 
Partially supported by NSF grants DMS-1665412 and DMS-2000050.
We extend an earlier result obtained by the author in [7].
关键词：non-degeneracy property extremal mapping PSEUDOCONVEX 
NEW SPECTRAL CHARACTERIZATIONS OF EXTREMAL HYPERSURFACES
《Acta Mathematica Scientia》2013年第5期1269-1274,共6页杨登允 许洪伟 付海平 
supported by the NSFC(11226078;11071211;11261038)
Let M be a closed extremal hypersurface in S^n＋1 with the same mean curvature of the Willmore torus Wm,n-m.We proved that if Spec^p（M） = Spec^p（Wm,n-m ） for p = 0, 1, 2, then M is Wm,m.
关键词：SPECTRUM Laplace operator extremal hypersurface 
ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS
《Acta Mathematica Scientia》1995年第4期474-476,共3页谢四清 
Let P-n be an algebraic polynomial of degree n with real coefficients. We study the extremal properties of the integral integral(-1)(1)(P ''(n) (x))(2)dx and integral(-1)(1) (1-x(2))1/2(P ''(n)(x))(2)dx subject to the...
关键词：algebraic polynomial INTERPOLATION 
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