
Previous Article
Global bifurcation diagrams of steadystates for a parabolic model related to a nuclear engineering problem
 PROC Home
 This Issue

Next Article
Radial solutions of semilinear elliptic equations with broken symmetry on unbounded domains
Classification of positive solutions of semilinear elliptic equations with Hardy term
1.  Hanbat National University, Daejeon 305719 
References:
show all references
References:
[1] 
Galina V. Grishina. On positive solution to a second order elliptic equation with a singular nonlinearity. Communications on Pure & Applied Analysis, 2010, 9 (5) : 13351343. doi: 10.3934/cpaa.2010.9.1335 
[2] 
Diane Denny. A unique positive solution to a system of semilinear elliptic equations. Conference Publications, 2013, 2013 (special) : 193195. doi: 10.3934/proc.2013.2013.193 
[3] 
Dominika Pilarczyk. Asymptotic stability of singular solution to nonlinear heat equation. Discrete & Continuous Dynamical Systems  A, 2009, 25 (3) : 9911001. doi: 10.3934/dcds.2009.25.991 
[4] 
Ling Mi. Asymptotic behavior for the unique positive solution to a singular elliptic problem. Communications on Pure & Applied Analysis, 2015, 14 (3) : 10531072. doi: 10.3934/cpaa.2015.14.1053 
[5] 
Baishun Lai, Qing Luo. Regularity of the extremal solution for a fourthorder elliptic problem with singular nonlinearity. Discrete & Continuous Dynamical Systems  A, 2011, 30 (1) : 227241. doi: 10.3934/dcds.2011.30.227 
[6] 
MiYoung Kim. Uniqueness and stability of positive periodic numerical solution of an epidemic model. Discrete & Continuous Dynamical Systems  B, 2007, 7 (2) : 365375. doi: 10.3934/dcdsb.2007.7.365 
[7] 
Shota Sato, Eiji Yanagida. Forward selfsimilar solution with a moving singularity for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2010, 26 (1) : 313331. doi: 10.3934/dcds.2010.26.313 
[8] 
José F. Caicedo, Alfonso Castro. A semilinear wave equation with smooth data and no resonance having no continuous solution. Discrete & Continuous Dynamical Systems  A, 2009, 24 (3) : 653658. doi: 10.3934/dcds.2009.24.653 
[9] 
Fouad Hadj Selem, Hiroaki Kikuchi, Juncheng Wei. Existence and uniqueness of singular solution to stationary Schrödinger equation with supercritical nonlinearity. Discrete & Continuous Dynamical Systems  A, 2013, 33 (10) : 46134626. doi: 10.3934/dcds.2013.33.4613 
[10] 
Zongming Guo, Yunting Yu. Boundary value problems for a semilinear elliptic equation with singular nonlinearity. Communications on Pure & Applied Analysis, 2016, 15 (2) : 399412. doi: 10.3934/cpaa.2016.15.399 
[11] 
Shota Sato. Blowup at space infinity of a solution with a moving singularity for a semilinear parabolic equation. Communications on Pure & Applied Analysis, 2011, 10 (4) : 12251237. doi: 10.3934/cpaa.2011.10.1225 
[12] 
Yanqin Fang, Jihui Zhang. Nonexistence of positive solution for an integral equation on a HalfSpace $R_+^n$. Communications on Pure & Applied Analysis, 2013, 12 (2) : 663678. doi: 10.3934/cpaa.2013.12.663 
[13] 
GUANGBING LI. Positive solution for quasilinear Schrödinger equations with a parameter. Communications on Pure & Applied Analysis, 2015, 14 (5) : 18031816. doi: 10.3934/cpaa.2015.14.1803 
[14] 
TsungFang Wu. Multiplicity of positive solutions for a semilinear elliptic equation in $R_+^N$ with nonlinear boundary condition. Communications on Pure & Applied Analysis, 2010, 9 (6) : 16751696. doi: 10.3934/cpaa.2010.9.1675 
[15] 
Út V. Lê. Regularity of the solution of a nonlinear wave equation. Communications on Pure & Applied Analysis, 2010, 9 (4) : 10991115. doi: 10.3934/cpaa.2010.9.1099 
[16] 
Frédéric Abergel, JeanMichel Rakotoson. Gradient blowup in Zygmund spaces for the very weak solution of a linear elliptic equation. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 18091818. doi: 10.3934/dcds.2013.33.1809 
[17] 
Soohyun Bae. Weighted $L^\infty$ stability of positive steady states of a semilinear heat equation in $\R^n$. Discrete & Continuous Dynamical Systems  A, 2010, 26 (3) : 823837. doi: 10.3934/dcds.2010.26.823 
[18] 
Hirotada Honda. Globalintime solution and stability of KuramotoSakaguchi equation under nonlocal Coupling. Networks & Heterogeneous Media, 2017, 12 (1) : 2557. doi: 10.3934/nhm.2017002 
[19] 
Hongyu Ye. Positive high energy solution for Kirchhoff equation in $\mathbb{R}^{3}$ with superlinear nonlinearities via NehariPohožaev manifold. Discrete & Continuous Dynamical Systems  A, 2015, 35 (8) : 38573877. doi: 10.3934/dcds.2015.35.3857 
[20] 
Zhiming Guo, ZhiChun Yang, Xingfu Zou. Existence and uniqueness of positive solution to a nonlocal differential equation with homogeneous Dirichlet boundary conditionA nonmonotone case. Communications on Pure & Applied Analysis, 2012, 11 (5) : 18251838. doi: 10.3934/cpaa.2012.11.1825 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]