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POSITIVE_SOLUTIONS: 作品数：308被引量：501H指数：12; 导出分析报告; 相关作者：葛渭高刘辉昭蒋达清刘嘉荃熊明更多>>; 相关机构：西北师范大学北京理工大学烟台大学东北师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家重点基础研究发展计划安徽省自然科学基金更多>>

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

Optimal regularity of positive solutions of the Hénon-Hardy equation and related equations: 《Science China Mathematics》2024年第10期2283-2302,共20页Zongming Guo Fangshu Wan; supported by National Natural Science Foundation of China (Grant No. 11571093);supported by the Fundamental Research Funds for the Central Universities (Grant No. WK0010000064);Anhui Provincial Natural Science Foundation (Grant No. BJ0010000026)。; We present a new method to determine the optimal regularity of positive solutions u∈C^(4)(Ω\{0})∩C^(0)(Ω) of the Hénon-Hardy equation,i.e.,Δ^(2)u=|x|^(α)u^(p)inΩ,(0,1) where Ω■RN(N≥4) is a bounded smooth do...; 关键词：H´enon-Hardy equation positive solutions optimal regularity singular point asymptotic expansions

Positive Solutions of Second Order Discrete Problem on Infinite Intervals: 《Journal of Mathematical Research with Applications》2024年第4期511-520,共10页Haiyi WU Tianlan CHEN; Supported by the National Natural Science Foundation of China(Grant No.12361040);the Department of Education University Innovation Fund of Gansu Province(Grant No.2021A-006)。; In this paper,by using the discrete Arzelá-Ascoli Lemma and the fixed-point theorem in cones,we discuss the existence of positive solutions of the following second order discrete Sturm-Liouville boundary value proble...; 关键词：positive solutions second order discrete problems infinite intervals fixed-point theorem in cones

THE RADIAL SYMMETRY OF POSITIVE SOLUTIONS FOR SEMILINEAR PROBLEMS INVOLVING WEIGHTED FRACTIONAL LAPLACIANS: 《Acta Mathematica Scientia》2024年第3期1020-1035,共16页王英邱妍静尹青苹; supported by the NSFC(12001252);the Jiangxi Provincial Natural Science Foundation(20232ACB211001)。; This paper deals with the radial symmetry of positive solutions to the nonlocal problem(-Δ)_(γ)~su=b(x)f(u)in B_(1){0},u=h in R~N B_(1),where b:B_1→R is locally Holder continuous,radially symmetric and decreasing i...; 关键词：radial symmetry fractional Laplacian method of moving planes

Parametric Anisotropic(p,q)-Neumann Problems: 《Acta Mathematicae Applicatae Sinica》2023年第4期926-942,共17页Zhen-hai LIU Nikolaos S.PAPAGEORGIOU; supported by National Natural Science Foundation of China (Grant No.12071413);Natural Science Foundation of Guangxi Grant No.2023GXNSFAA026085;the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement (No.823731) CONMECH。; We consider a Neumann problem driven by a(p(z), q(z))-Laplacian(anisotropic problem) plus a parametric potential term with λ > 0 being the parameter. The reaction is superlinear but need not satisfy the Ambrosetti-Ra...; 关键词：variable exponent spaces superlinear reaction bifurcation-type theorem anisotropic regularity strong comparison positive solutions

SINGULAR DOUBLE PHASE EQUATIONS: 《Acta Mathematica Scientia》2023年第3期1031-1044,共14页刘振海 Nikolaos S.PAPAGEORGIOU; supported by the NNSF of China (12071413, 12111530282);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No. 823731 CONMECH。; We study a double phase Dirichlet problem with a reaction that has a parametric singular term. Using the Nehari manifold method, we show that for all small values of the parameter, the problem has at least two positiv...; 关键词：double phase singular term unbalanced growth Musielak-Orlice spaces Nehari manifold positive solutions

POSITIVE SOLUTIONS WITH HIGH ENERGY FOR FRACTIONAL SCHRODINGER EQUATIONS: 《Acta Mathematica Scientia》2023年第3期1116-1130,共15页郭青赵雷嘎; supported by the NNSF of China(12171014, 12271539, 12171326);the Beijing Municipal Commission of Education (KZ202010028048);the Research Foundation for Advanced Talents of Beijing Technology and Business University (19008022326)。; In this paper, we study the Schrodinger equations (-△)^(s)u + V(x)u = a(x)|u|^(p-2)u + b(x)|u|^(q-2)u, x∈R^(N),where 0 < s < 1, 2 < q < p < 2_(s)^(*), 2_(s)^(*) is the fractional Sobolev critical exponent. Under sui...; 关键词：fractional Schr?dinger equations positive solution concentration compactness principle

Positive Solutions of Fourth-Order Equations under Nonlocal Boundary Value Conditions of Sturm-Liouville Type: 《Journal of Mathematical Research with Applications》2023年第1期91-100,共10页Chunlei SONG Wei CHEN Guowei ZHANG; Supported by the National Training Program of Innovation and Entrepreneurship for Undergraduates(Grant No.S202210145149).; In this paper, we study the fourth-order problem with the first and second derivatives in nonlinearity under nonlocal boundary value conditions of Sturm-Liouville type involving Stieltjes integrals. Some inequality co...; 关键词：positive solution fixed point index CONE

Positive Solutions for Second-Order Singular Difference Equation with Nonlinear Boundary Conditions: 《Journal of Mathematical Research with Applications》2023年第1期101-108,共8页Huijuan LI Alhussein MOHAMED Chenghua GAO; Supported by the National Natural Science Foundation of China(Grant No.11961060).; In this paper,we discuss the existence of positive solutions for the second-order singular difference equation boundary value problem -Δ^(2)u(t-1)=λg(t)f(u).t∈[1,T]_(z),u(0)=0,Δu(T)+c(u(T+1))u(T+1)=0,where λ> 0 i...; 关键词：difference equation nonlinear boundary conditions positive solutions

Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields被引量：1: 《Journal of Partial Differential Equations》2022年第4期307-319,共13页HAN Junqiang; support from Nature Science Fund of China(No.11771354).; The purpose of this paper is to investigate the nonexistence of positive so lutions of the following doubly nonlinear degenerate parabolic equations:{∂u=▽k·(u^(m-1)|▽ku|^(p-2)▽ku)+(w)u^(m+p-2),u(w,0)=u0(w)≥0,u(w,...; 关键词：Doubly nonlinear degenerate parabolic equations Greiner vector fields positive solutions NONEXISTENCE Hardy inequality

POSITIVE_SOLUTIONS