SOBOLEV

作品数：262被引量：278H指数：7
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相关领域：理学更多>>
相关作者：姚仰新康东升沈尧天刘永平张靖更多>>
相关机构：华中师范大学中南民族大学西南大学华南理工大学更多>>
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相关基金：国家自然科学基金国家教育部博士点基金中国博士后科学基金北京市自然科学基金更多>>
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Positive Ground State Solutions for Schrodinger-Poisson System with General Nonlinearity and Critical Exponent
《Journal of Partial Differential Equations》2023年第1期68-81,共14页CHEN Qingfang LIAO Jiafeng 
Supported by the Fundamental Research Funds of China West Normal University(No.18B015);Natural Science Foundation of Sichuan(No.23NSFSC1720).
In this paper,we consider the following Schrodinger-Poisson system{-Δu+ηΦu=f(x,μ)+μ^(5),x∈Ω,-ΔФ=μ^(2),x∈Ω,μ=Φ=0,x∈■Ω,whereΩis a smooth bounded domain in R^(3),η=±1 and the continuous function f sat...
关键词：Schrodinger-Poisson system Sobolev critical exponent positive ground state solu-tion Mountain pass theorem 
Trudinger-Moser Type Inequality Under Lorentz-Sobolev Norms Constraint被引量：1
《Journal of Partial Differential Equations》2021年第2期116-128,共13页ZHU Maochun ZHENG Yifeng 
In this paper,we are concerned with a sharp fractional Trudinger-Moser type inequality in bounded intervals of IR under the Lorentz-Sobolev norms constraint.For any 1
关键词：Trudinger-Moser inequality Lorentz-Sobolev space bounded intervals 
Sobolev-type Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Non-Lipschitz Coefficients
《Journal of Partial Differential Equations》2019年第2期144-155,共12页ZHAN Wentao LI Zhi 
In this paper,we are concerned with the existence and uniqueness of mild solution for a class of nonlinear fractional Sobolev-type stochastic differential equations driven by fractional Brownian motion with Hurst para...
关键词：FRACTIONAL Sobolev-type stochastic differential equations FRACTIONAL BROWNIAN motion mild solution 
Semi-linear Elliptic Equations on Graph
《Journal of Partial Differential Equations》2017年第3期221-231,共11页ZHANG Dongshuang 
Let G = （V,E） be a locally finite graph, Ω C V be a finite connected set, A be the graph Laplacian, and suppose that h ： V →R is a function satisfying the coercive condition on Ω, namely there exists some consta...
关键词：SOBOLEV EMBEDDING Yamabe type equation LAPLACIAN on graph. 
Random Attractor for Stochastic Partly Dissipative Systems on Unbounded Domains
《Journal of Partial Differential Equations》2015年第1期47-73,共27页WANG Zhi DU XianYun 
This work is supported by The National Natural Science Foundation of China （Grant No： 11301043）. We also express our thanks to the referee for helpful comments and suggestions.
In this paper, we consider the long time behaviors for the partly dissipative stochastic reaction diffusion equations. The existence of a bounded random absorbing set is firstly discussed for the systems and then an e...
关键词：Reaction diffusion equation random dynamical systems random attractors asymp- totic compactness Sobolev compact embedding. 
The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-Type Terms
《Journal of Partial Differential Equations》2013年第3期193-216,共24页NYAMORADI N. SHEKARBIGI M. RAZLANSARI A. YAVARI M. 
In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounde...
关键词：Nehari manifold quasilinear elliptic equation Sobolev critical exponent. 
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