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A singular energy line of potential well on evolutionary p-Laplacian with logarithmic source: 《Acta Mathematica Scientia》2025年第2期363-384,共22页Gege LIU Jingxue YIN Yong LUO; supported by the NSFC(12171166).; We consider large-time behaviors of weak solutions to the evolutionary p-Laplacian with logarithmic source of time-dependent coefficient.We find that the weak solutions may neither decay nor blow up,provided that the ...; 关键词：logarithmic source singular energy line large-time behavior

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

Normalized Solutions for p-Laplacian Schrödinger-Poisson Equations with L^(2)-Supercritical Growth: 《数学理论与应用》2025年第1期45-61,共17页LI Mingxue ZHANG Jiafeng; supported by the National Natural Science Foundation of China(No.12461024);the Natural Science Research Project of Department of Education of Guizhou Province(Nos.QJJ2023012,QJJ2023061,QJJ2023062);the Natural Science Research Project of Guizhou Minzu University(No.GZMUZK[2022]YB06)。; In this paper,we consider the p-Laplacian Schrödinger-Poisson equation with L^(2)-norm constraint-Δ_(p)u+|u|^(p-2)u+λu+(1/4π|x|*|u|^(2))u=|u|^(q-2)u,x∈R^(3),where 2≤p<3,5p/30 is a Lagrange multipl...; 关键词：Normalized solution p-Laplacian equation Schrödinger-Poisson equation Mountain pass lemma

Finite Element Method Resolution and Error Estimators for p-Laplacian Problem with a New Boundary Condition: 《Acta Mathematica Sinica,English Series》2025年第3期854-872,共19页Omar El Moutea Hassan El Amri; In this article,we discuss the approach to solving a nonlinear PDE equation,specifically the p-Laplacian equation,with a general(nonlinear)boundary condition.We establish the existence and uniqueness of the solution,s...; 关键词：A posteriori error indicators general boundary condition Finite Element Method(FEM) p-Laplacian equation quasi-norms IFISS Software

Blow-Up and Decay Estimate in a Logarithmic p-Laplace Parabolic Equation: 《Chinese Quarterly Journal of Mathematics》2024年第4期331-354,共24页LI Ping LI Feng-jie; Supported by Shandong Provincial Natural Science Foundation of China(Grant No.ZR2021MA003).; This paper deals with an initial-boundary value problem of a fourth-order parabolic equation involving Logarithmic type p-Laplacian,which could be proposed as a model for the epitaxial growth of thin films.By using th...; 关键词：High order parabolic equation Blow-up time Decay estimate Global existence Logarithmic type p-Laplacian

含p-Laplacian算子的分数阶微分方程耦合系统边值问题解的存在性: 《长春师范大学学报》2024年第12期13-24,42,共13页徐紫钰吴克晴; 国家自然科学基金项目“向量变分不等式投影型方法研究”(61364015)。; 研究了在混合型边界条件下的分数阶微分方程边值系统,讨论在该条件下系统解的存在性.系统的非线性项与未知函数的分数阶导数密切相关.该系统含p-Laplacian算子,同时非线性项含两个分数阶导数.首先将该系统转化成非线性项不含分数阶导数...; 关键词：边值系统不动点定理解的存在性 P-LAPLACIAN

含p-Laplacian和参数的分数阶微分方程无穷点边值问题正解的唯一性: 《廊坊师范学院学报（自然科学版）》2024年第3期14-20,29,共8页王丽; 山西省自然科学基金青年项目(202303021212267);晋中学院2023年教学改革创新项目(Jg202362)。; 研究含参数和p-Laplacian的无穷点分数阶微分方程的边值问题。任意给定一个正参数λ时,方程存在唯一的正解,给出依赖于参数λ>0的正解的几个明确性质,即正解u_(λ)^(*)连续,关于λ严格递增,且limλ→+∞||u_(λ)^(*)||=+∞,limλ→0^(+)...; 关键词：存在唯一性正解分数阶微分方程 P-LAPLACIAN

ON MONOTONE TRAVELING WAVES FOR NICHOLSON'S BLOWFLIES EQUATION WITH DEGENERATE p-LAPLACIAN DIFFUSION: 《Acta Mathematica Scientia》2024年第4期1550-1571,共22页Rui HUANG Yong WANG Zhuo YIN; partially supported by the NSFC(11971179,12371205);partially supported by the National Key R&D Program of China(2021YFA1002900);the Guangdong Province Basic and Applied Basic Research Fund(2021A1515010235);the Guangzhou City Basic and Applied Basic Research Fund(2024A04J6336)。; We study the existence and stability of monotone traveling wave solutions of Nicholson's blowflies equation with degenerate p-Laplacian diffusion.We prove the existence and nonexistence of non-decreasing smooth travel...; 关键词：degenerate diffusion P-LAPLACIAN traveling waves stability

一类p-Laplacian的非齐次Kirchhoff-Schrödinger-Poisson系统的多重解研究: 《数学理论与应用》2024年第2期20-35,共16页王梅索洪敏张学梅王臣熙; supported by the National Natural Science Foundation of China(Nos.11661021,11861021)。; 本文考虑如下p-Laplacian的非齐次拟线性Kirchhoff-Schr?dinger-Poisson系统解的存在性:{-(a-b∫_(R^(3))|■u|^(p)dx)△_(p)u+|u|^(p-2)u+λφ_(u)u=|u|^(q-2)u+h(x),x∈R^(3),-△_(φ)=u^(2),其中a,b>0,4/3; 关键词：Kirchhoff-Schrödinger-Poisson系统 P-LAPLACIAN EKELAND变分原理山路定理

Life-Spans and Blow-Up Rates for aρ-Laplacian Parabolic Equation with General Source: 《Journal of Partial Differential Equations》2024年第2期187-197,共11页LONG Qunfei; Supported by the Doctoral Scientific Research Starting Foundation of Guizhou Normal University of China,2018(No.GZNUD[2018]34 and 11904/0519113).; This article investigates the blow-up results for the initial boundary value problem to the quasi-linear parabolic equation with p-Laplacian■where p≥2 and the function f(u)satisfies■for some positive constantsα,β...; 关键词：P-LAPLACIAN parabolic equation blow-ups life-spans blow-up rates

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