ELLIPTIC_EQUATION

作品数:135被引量:186H指数:7
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相关作者:王庚莫嘉琪陈松林李宝麟姚庆六更多>>
相关机构:安徽机电职业技术学院安徽师范大学华东冶金学院西北师范大学更多>>
相关期刊:《Journal of Mathematical Research with Applications》《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《Science Bulletin》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河南省自然科学基金霍英东教育基金更多>>
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Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds
《Journal of Partial Differential Equations》2024年第1期1-24,共24页MALIKI Youssef TERKI Fatima Zohra 
We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.
关键词:Riemannian manifolds Yamabe equation Hardy potential. 
Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term
《Journal of Partial Differential Equations》2019年第2期156-170,共15页XUE Yimin CHEN Shouting 
Our work was supported by the Natural Science Foundation of JiangSu Province(BK201 51160);Six Talent Peaks Project in Jangsu Province(2016-JY-081);the Nurturing Project of Xuzhou University of Technology(XKY2017113).
In this paper,we consider an elliptic equation with exponential nonlinearities and singular term.By constructing the corresponding variational framework,and using a Singular Trudinger-Moser inequality due to Li,Mounta...
关键词:SINGULAR Trudinger-Moser INEQUALITY MOUNTAIN-PASS theorem EXPONENTIAL growth. 
A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter
《Journal of Partial Differential Equations》2018年第3期214-223,共10页RUZIEV M.Kh. 
In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of ...
关键词:Half-band Hankel transformation SERIES the Fourier method UNIQUENESS EXISTENCE 
Existence and Regularity of Solution for Strongly Nonlinear p(x)-Elliptic Equation with Measure Data
《Journal of Partial Differential Equations》2017年第1期31-46,共16页HASSIB Moulay Cherif AKDIM Youssef AZROUL Elhoussine BARBARA Abdelkrim 
The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =u in Ω, u = 0 on Ω, with a right-hand side measure, where Ω is a bounded open set of RN, N ...
关键词:Sobolev spaces with variable exponents strongly nonlinear p(x)-elliptic equations with measure data regularity. 
Existence and Properties of Radial Solutions of a Sub-linear Elliptic Equation
《Journal of Partial Differential Equations》2015年第1期30-38,共9页CHTEOUI Riadh BEN MABROUK Anouar OUNAIES Hichem 
A non lipschitzian nonlinear elliptic equation is reviewed and results of existence, uniqueness, positivity and classification are proved using direct methods derived from the equation.
关键词:Nonlinear elliptic equations nodal solutions Sturm comparison theorem variational method. 
Existence and Boundary Behavior of Positive Solutions of Quasi-linear Elliptic Singular Equations with a Gradient term
《Journal of Partial Differential Equations》2014年第4期318-332,共15页YUAN Junli YANG Zuodong 
Existence of positive solutions of a class of quasi-linear elliptic equation with a gradient term is obtained by using super-solution and sub-solution method. In par- ticular, we study the asymptotic behavior of the s...
关键词:EXISTENCE quasMinear elliptic equation super-solution sub-solution. 
L1 Existence and Uniqueness of Entropy Solutions to Nonlinear Multivalued Elliptic Equations with Homogeneous Neumann Boundary Condition and Variable Exponent
《Journal of Partial Differential Equations》2014年第1期1-27,共27页OUARO Stanislas OUEDRAOGO Arouna 
In this work, we study the following nonlinear homogeneous Neumann boundary value problemβ (u) -diva (x, 7u) f in fΩ, a (x, u). η= 0 on Ω, where Ω is a smooth bounded open domain in RN, N ≥ 3 with...
关键词:Elliptic equation variable exponent entropy solution L1-data Neumann boundarycondition. 
Sublinear Elliptic Equation on Fractal Domains
《Journal of Partial Differential Equations》2011年第2期97-113,共17页HE Zhenya 
This paper investigates sub-linear elliptic equations on self-similar fractal sets. With an appropriately defined Laplacian, we obtain the existence of nontrivial solutions of sub-linear elliptic equations -△u=λu- a...
关键词:Self-similar fractal saddle point theorem elliptic equation mountain pass lemma Laplacian operator. 
Nonradial Entire Large Solutions of Semilinear Elliptic Equations
《Journal of Partial Differential Equations》2010年第4期366-373,共8页LAIR Alan V 
We consider the problem of whether the equation △u = p(x)f(u) on RN, N ≥ 3, has a positive solution for which lim |x|→∞(x) = ∞ where f is locally Lipschitz continuous, positive, and nondecreasing on (0,o...
关键词:Large solution elliptic equation semilinear equation. 
GLOBAL REGULARITY IN HOMOGENEOUS MORREY-HERZ SPACES OF SOLUTIONS TO NONDIVERGENCE ELLIPTIC EQUATIONS WITH VMO COEFFICIENTS被引量:6
《Journal of Partial Differential Equations》2007年第2期97-113,共17页Lu Shanzhen Tao Shuangping 
In this paper, by establishing the boundedness results of singular integral operators and linear commutators, we obtain the global regularity, in homogeneous Morrey-Herz spaces, of strong solutions to nondivergence el...
关键词:Elliptic equation Morrey-Herz space VMO singular integral commutator. 
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