云南高校图书馆联盟文献共享服务平台- QUASILINEAR

QUASILINEAR: 作品数：187被引量：240H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：杨作东郭宗明谢峰张福保林宜中更多>>; 相关机构：河南大学河南师范大学浙江师范大学安徽师范大学更多>>; 相关期刊：《Wuhan University Journal of Natural Sciences》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划北京市自然科学基金广东省自然科学基金更多>>

POSITIVE GROUND STATE SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATION: 《数学杂志》2025年第2期95-110,共16页JIN Qing-fei; Supported by Research Start-up Fund of Jianghan University(06050001).; This paper is concerned with the positive ground state solutions for a quasilinear Schrodinger equation with a Hardy-type term.We obtain positive ground state solutions for the given quasilinear Schrodinger equation b...; 关键词：Quasilinear equation schrodinger equation positive ground state solutions variational methods

Multiplicity and Concentration of Positive Solutions for a Quasilinear Schrödinger-Poisson System with Critical Nonlinearity: 《数学理论与应用》2025年第1期1-24,共24页ZHANG Weiqiang WEN Yanyun; supported by the Natural Science Foundation of Gansu Province(No.24JRRP001)。; In this paper,we study the following Schrödinger-Poisson system{-ε^(p)Δ_(p)u+V(x)|u|^(p-2)u+ϕ|u|^(p-2)u=f(u)+|u|^(p*-2)u in R^(3),-ε^(2)Δϕ=|u|^(p)in R^(3),whereε>0 is a parameter,3/2; 关键词：Schrödinger-Poisson system Positive solution Ljusternik-Schnirelmann category theory Critical growth P-LAPLACIAN

A class of quasilinear equations with-1 powers: 《中国科学院大学学报(中英文)》2025年第1期13-19,共7页ZHANG Heng SUN Yijing; Supported by National Science Foundation of China(11971027,12171497)。; This paper deals with quasilinear elliptic equations of singular growth like-Δu-uΔ(u^(2))=a(x)u^(-1).We establish the existence of positive solutions for general a(x)∈L^(p)(Ω),p>2,whereΩis a bounded domain inℝ^(N...; 关键词：quasilinear singular equation -1 power elliptic equation

Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space R^(2)×T: 《Science China Mathematics》2024年第12期2713-2752,共40页Jun Li Fei Tao Huicheng Yin; supported by National Natural Science Foundation of China(Grant No.11871030);supported by National Natural Science Foundation of China(Grant No.11731007)。; In this paper,for the 3D quadratic nonlinear Klein-Gordon equation on the product space R^(2)×T,we focus on the lower bound of the lifespan of the smooth solution with slowly decaying initial data.When the size of in...; 关键词：quasilinear Klein-Gordon equation almost global solution Z-norm Littlewood-Paley decomposition space-time resonance method energy estimate

Eigenvalue Problem for a Class of Quasilinear Elliptic Operators with Mixed Boundary Value Condition in a Variable Exponent Sobolev Space: 《Communications in Mathematical Research》2024年第4期437-481,共45页Junichi Aramaki; In this paper,we consider an eigenvalue problem for a class of non-linear elliptic operators containing p(-)-Laplacian and mean curvature opera-tor with mixed boundary conditions.More precisely,we are concerned with t...; 关键词：Eigenvalue problem p(·)-Laplacian type equation mean curvature operator

Global stability of a quasilinear predator-prey model with indirect pursuit-evasion interaction: 《International Journal of Biomathematics》2024年第8期147-174,共28页Chuanjia Wan Pan Zheng Wenhai Shan; supported by the National Natural Science Foundation of China(Grant Nos.11601053,12271064);the Science and Technology Research Project of Chongqing Municipal Education Commission(Grant No.KJZD-K202200602);the Natural Science Foundation of Chongqing(Grant No.CSTB2023NSCQ-MSX0099);the Hong Kong Scholars Program(Grant Nos.XJ2021042,2021-005)and the Young Hundred Talents Program of CQUPT in 2022-2024.; This paper deals with a predator-prey model with indirect prey-taxis and predator-taxis{u_(t)=■·(D_(1)(u)■u)-χ■·(S_(1)(u)■z)+u(αv-a_(1)-b_(1)u),x∈Ω,t>0,u_(t)=■·(D_(2)(v)■v)-ε■·(S_(1)(v)■w)+v(a_(2)-b_(...; 关键词：Predator-prey model QUASILINEAR global boundedness STABILIZATION

Nodal Solutions with a Prescribed Number of Nodes for Quasilinear Schrödinger Equations with a Cubic Term: 《Journal of Mathematical Research with Applications》2024年第5期681-696,共16页Jing LAI Na LIU Tao WANG; Supported by the National Natural Science Foundation of China(Grant No.12001188);the Natural Science Foundation of Hunan Province(Grant No.2022JJ30235)。; This paper is concerned with the existence of nodal solutions for the following quasilinear Schrödinger equation with a cubic term■where N≥3,λ>0,the function V(|x|)is a radially symmetric and positive potential.By ...; 关键词：quasilinear Schrödinger equations nodal solutions limit approach variational method

Blow-Up of Solution and Energy Decay for a Quasilinear Parabolic Problem: 《Journal of Partial Differential Equations》2024年第3期263-277,共15页LI Fang ZHANG Jingjing; In this paper,we obtain the blow-up result of solutions and some general decay rates for a quasilinear parabolic equation with viscoelastic terms A(t)|u_(t)|^(m-2)u_(t)-△u+∫_(0)^(t)g(t-s)△u(t-s)△(x,s)ds=|u|^(p-2)u...; 关键词：Viscoelastic term blow up decay estimate

一个一维二阶拟线性双曲组的精确边界能控性: 《Chinese Quarterly Journal of Mathematics》2023年第4期424-440,共17页王珂潘盼盼; Supported by the Science and Technology Commission of Shanghai Municipality (Grant No.23ZR1402100);the Fundamental Research Funds for the Central Universities (Grant Nos. 2232022G-13 and 2232023G-13); In this paper,we propose a second-order quasilinear hyperbolic system.By means of the theory on semi-global C^(1)solution to first-order quasilinear hyperbolic systems,we establish the existence and uniqueness of semi...; 关键词：First-order quasilinear hyperbolic system Second-order quasilinear hyper-bolic system Semi-global solution Exact boundary controllability

Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory: 《Journal of Partial Differential Equations》2023年第4期349-364,共16页PENG Xiaoming SHANG Yadong; supported by the Basic Research Project of Guangzhou Science and Technology Plan(No.202201011341).; This paper is concerned with the asymptotic behavior of a quasilinear vis-coelastic equation with nonlinear damping and memory.Assuming that the kernelμ(s)satisfies 3 u'(s)≤-kiμ^(m)(s),1≤m<3/2 we establish the exp...; 关键词：Exponential stability polynomial stability QUASILINEAR nonlinear damping MEMORY

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