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-LAPLACIAN: 作品数：128被引量：91H指数：4; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：张文丽肖成河潘晓丽魏利张申贵更多>>; 相关机构：兰州大学哈尔滨工业大学浙江师范大学南京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金中央高校基本科研业务费专项资金山西高校科技研究开发项目更多>>

PROPERTIES OF THE POSITIVE SOLUTIONS OF FRACTIONAL P&Q-LAPLACE EQUATIONS WITH A SIGN-CHANGING POTENTIAL: 《Acta Mathematica Scientia》2024年第6期2422-2442,共21页Yubo DUAN Yawei WEI; partially supported by the NSFC(12271269);the Fundamental Research Funds for the Central Universities;partially supported by the Fundamental Research Funds for the Central Universities(2021YJSB006)。; In this paper,we consider the nonlinear equations involving the fractional p&qLaplace operator with a sign-changing potential.This model is inspired by the De Giorgi Conjecture.There are two main results in this paper...; 关键词：fractional p&q-Laplacian moving plane method sliding method

A SCHWARZ LEMMA FOR TRANSVERSALLY V-HARMONIC MAPS BETWEEN RIEMANNIAN FOLIATED MANIFOLDS: 《Acta Mathematica Scientia》2024年第6期2509-2526,共18页Xin HUANG; supported by the NSFC(11771087,12171091)。; In this paper,we prove a transversal V-Laplacian comparison theorem under a transversal Bakry-Emery Ricci condition.We establish a Schwarz type lemma for transversally V-harmonic maps of bounded generalized transversa...; 关键词：Schwarz lemma transversal V-Laplacian comparison theorem transversally V-harmonic map

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

ON NONCOERCIVE (p,q)-EQUATIONS: 《Acta Mathematica Scientia》2021年第5期1788-1808,共21页Nikolaos S.PAPAGEORGIOU Calogero VETRO Francesca VETRO; We consider a nonlinear Dirichlet problem driven by a(p,q)-Laplace differential operator(1; 关键词：(p q)-Laplacian principal eigenvalue constant sign and nodal solutions extremal solutions nonlinear regularity

EXISTENCE OF SOLUTIONS FOR THE FRACTIONAL(p,q)-LAPLACIAN PROBLEMS INVOLVING A CRITICAL SOBOLEV EXPONENT被引量：1: 《Acta Mathematica Scientia》2020年第6期1666-1678,共13页Fanfan CHEN Yang YANG; National Natural Science Foundation of China(11501252 and 11571176)。; In this article,we study the following fractional(p,q)-Laplacian equations involving the critical Sobolev exponent:(Pμ,λ){(−Δ)s 1 p u+(−Δ)s 2 q u=μ|u|q−2 u+λ|u|p−2 u+|u|p∗s 1−2 u,u=0,inΩ,in R N∖Ω,whereΩ⊂R N i...; 关键词：fractional(p q)-Laplacian non-negative solutions critical Sobolev exponents

LANDESMAN-LAZER TYPE (p,q)-EQUATIONS WITH NEUMANN CONDITION被引量：1: 《Acta Mathematica Scientia》2020年第4期991-1000,共10页Nikolaos S.PAPAGEORGIOU Calogero VETRO; We consider a Neumann problem driven by the(p,g)-Laplacian under the Landesman-Lazer type condition.Using the classical saddle point theorem and other classical results of the calculus of variations,we show that the p...; 关键词：Neumann problem (p q)-Laplacian critical point saddle point theorem Landesman-Lazer type condition

LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID: 《Acta Mathematica Scientia》2018年第6期1903-1911,共9页Guijuan LIN; Supported by the Study of Some Problems on Holomorphic Function Space and Operator Theory(11671357);the National Natural Science Foundation of China(11771139);the Natural Science Foundation of Guangxi(2015jjBA10049);partially supported by the Hu Guozan Study-Abroad Grant for graduates(China)for her visit to UC Irvine in 2015–2016 when part of this work was done; We give the sharp lower bound for Ricci curvature on the real ellipsoid in Cn＋l,and prove the Lichnerowicz-Obata theorem for Kohn Laplacian.; 关键词：Ricci curvature EIGENVALUE Kohn-Laplacian

MULTIPLICITY OF SOLUTIONS OF WEIGHTED(p, q)-LAPLACIAN WITH SMALL SOURCE: 《Acta Mathematica Scientia》2018年第2期419-428,共10页宋慧娟尹景学王泽佳; Supported by the National Natural Science Foundation of China(11426122,11371153,and 11361029);the Specialized Research Fund for the Doctoral Program of Higher Education of China;the Natural Science Foundation of Jiangxi Province of China(20151BAB211003); In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system -div（h1（x）｜△u｜p-2△u）=d（x）｜u｜r-2u＋Gu（x,u,v） in Ω -div（h2（x）｜△u｜q-2△v）=f（x）｜v...; 关键词：Weighted （p q）-Laplacian small sources MULTIPLICITY

MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE NEUMANN PROBLEMSWITH SINGULARφ-LAPLACIAN被引量：3: 《Acta Mathematica Scientia》2017年第5期1472-1482,共11页马如云高红亮; Supported by the NSFC(11361054,11671322); We study the existence of multiple positive solutions for a Neumann problem with singular φ-Laplacian{-(φ（u′）)′= λf（u）, x ∈（0, 1）,u′（0） = 0 = u′（1）,where λ is a positive parameter, φ（s） =s/（1-s;...; 关键词：multiple positive solutions Neumann problem prescribed mean curvature equation time map

ON THE FIRST EIGENVALUE OF THE MEAN FINSLER-LAPLACIAN: 《Acta Mathematica Scientia》2017年第4期1162-1172,共11页贺群曾凡奇郑大小; supported by NSFC(11471246);NSFAP(1608085MA03); In this paper, we prove that several different definitions of the Finsler-Laplacian are equivalent. Then we prove that any Berwald metric is affinely equivalent to its mean metric and give some upper or lower bound es...; 关键词：Finsler-Laplacian mean metric mean Laplacian first eigenvalue

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