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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New Solutions for an Elliptic Equation Method and Its Applications in Nonlinear Evolution Equations
《Journal of Applied Mathematics and Physics》2022年第8期2415-2431,共17页Minghuan Liu Yuanguang Zheng 
In this paper, we study an elliptic equation with four distinct real roots and obtain five new solutions to this type of elliptic equation. Using these obtained new elliptic function solutions we can construct a serie...
关键词：Elliptic Equation Periodic Wave Solution Singular Wave Solution Combined KdV-MKdV Equation Generalized Dullin-Gottwald-Holm Equation 
Multiple Solutions for a Class of Variable-Order Fractional Laplacian Equations with Concave-Convex Nonlinearity
《Journal of Applied Mathematics and Physics》2022年第3期837-849,共13页Canlin Gan Ting Xiao Qiongfen Zhang 
This paper is concerned with the following variable-order fractional Laplacian equations , where N ≥ 1 and N > 2s(x,y) for (x,y) ∈ Ω × Ω, Ω is a bounded domain in RN, s(⋅) ∈ C (RN ×...
关键词：Concave-Convex Nonlinearity Variable-Order Fractional Laplacian Variational Methods Fractional Elliptic Equation 
Existence of Infinitely Many High Energy Solutions for a Fourth-Order Kirchhoff Type Elliptic Equation in R<sup>3</sup>
《Journal of Applied Mathematics and Physics》2020年第8期1550-1559,共10页Ting Xiao Canlin Gan Qiongfen Zhang 
In this paper, we consider the following fourth-order equation of Kirchhoff type

where a, b > 0 are constants, 3 <

关键词：Fourth-Order Kirchhoff Type Elliptic Equation Infinitely Many Solutions Symmetric Mountain Pass Theorem Variational Methods 
Multiple Solutions for an Elliptic Equation with Hardy-Sobolev Critical Exponent, Hardy-Sobolev-Maz’ya Potential and Sign-Changing Weights
《Journal of Applied Mathematics and Physics》2019年第11期2658-2670,共13页Mohammed El Mokhtar Ould El Mokhtar Zeid I. Almuhiameed 
In the present paper, an elliptic equation with Hardy-Sobolev critical exponent, Hardy-Sobolev-Maz’ya potential and sign-changing weights, is considered. By using the Nehari manifold and mountain pass theorem, the ex...
关键词：Hardy-Sobolev-Maz’ya POTENTIAL Concave Term Sign-Changing WEIGHTS Nehari Manifold Mountain Pass Theorem 
Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
《Journal of Applied Mathematics and Physics》2019年第1期210-217,共8页Shangjian Liu 
In this work, we study the following problem. , where ?is the fractional Laplacian and Ω?is a bounded domain in RN?with Lipschitz boundary. g: R→R?is an increasing locally Lipschitz continuous function. and...
关键词：SOBOLEV EMBEDDING THEOREM Stampacchia’s THEOREM EXISTENCE Uniquness 
Filtering Function Method for the Cauchy Problem of a Semi-Linear Elliptic Equation被引量：2
《Journal of Applied Mathematics and Physics》2015年第12期1599-1609,共11页Hongwu Zhang Xiaoju Zhang 
A Cauchy problem for the semi-linear elliptic equation is investigated. We use a filtering function method to define a regularization solution for this ill-posed problem. The existence, uniqueness and stability of the...
关键词：ILL-POSED PROBLEM CAUCHY PROBLEM SEMI-LINEAR Elliptic Equation FILTERING Function Method Convergence Estimate 
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