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Multiple solutions for a critical nonhomogeneous elliptic problem in domains with small holes
Asymptotic behavior of solutions to elliptic equations in a coated body
1.  School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China 
[1] 
Qiong Chen, Chunlai Mu, Zhaoyin Xiang. Blowup and asymptotic behavior of solutions to a semilinear integrodifferential system. Communications on Pure & Applied Analysis, 2006, 5 (3) : 435446. doi: 10.3934/cpaa.2006.5.435 
[2] 
JongShenq Guo. Blowup behavior for a quasilinear parabolic equation with nonlinear boundary condition. Discrete & Continuous Dynamical Systems  A, 2007, 18 (1) : 7184. doi: 10.3934/dcds.2007.18.71 
[3] 
Helin Guo, Yimin Zhang, Huansong Zhou. Blowup solutions for a Kirchhoff type elliptic equation with trapping potential. Communications on Pure & Applied Analysis, 2018, 17 (5) : 18751897. doi: 10.3934/cpaa.2018089 
[4] 
Yūki Naito, Takasi Senba. Blowup behavior of solutions to a parabolicelliptic system on higher dimensional domains. Discrete & Continuous Dynamical Systems  A, 2012, 32 (10) : 36913713. doi: 10.3934/dcds.2012.32.3691 
[5] 
Yinbin Deng, Qi Gao. Asymptotic behavior of the positive solutions for an elliptic equation with Hardy term. Discrete & Continuous Dynamical Systems  A, 2009, 24 (2) : 367380. doi: 10.3934/dcds.2009.24.367 
[6] 
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 
[7] 
Alberto Bressan, Massimo Fonte. On the blowup for a discrete Boltzmann equation in the plane. Discrete & Continuous Dynamical Systems  A, 2005, 13 (1) : 112. doi: 10.3934/dcds.2005.13.1 
[8] 
Yong Zhou, Zhengguang Guo. Blow up and propagation speed of solutions to the DGH equation. Discrete & Continuous Dynamical Systems  B, 2009, 12 (3) : 657670. doi: 10.3934/dcdsb.2009.12.657 
[9] 
Huyuan Chen, Hichem Hajaiej, Ying Wang. Boundary blowup solutions to fractional elliptic equations in a measure framework. Discrete & Continuous Dynamical Systems  A, 2016, 36 (4) : 18811903. doi: 10.3934/dcds.2016.36.1881 
[10] 
Zhifu Xie. General uniqueness results and examples for blowup solutions of elliptic equations. Conference Publications, 2009, 2009 (Special) : 828837. doi: 10.3934/proc.2009.2009.828 
[11] 
Antonio Vitolo, Maria E. Amendola, Giulio Galise. On the uniqueness of blowup solutions of fully nonlinear elliptic equations. Conference Publications, 2013, 2013 (special) : 771780. doi: 10.3934/proc.2013.2013.771 
[12] 
Zhijun Zhang, Ling Mi. Blowup rates of large solutions for semilinear elliptic equations. Communications on Pure & Applied Analysis, 2011, 10 (6) : 17331745. doi: 10.3934/cpaa.2011.10.1733 
[13] 
Marius Ghergu, Vicenţiu Rădulescu. Nonradial blowup solutions of sublinear elliptic equations with gradient term. Communications on Pure & Applied Analysis, 2004, 3 (3) : 465474. doi: 10.3934/cpaa.2004.3.465 
[14] 
Claudia Anedda, Giovanni Porru. Second order estimates for boundary blowup solutions of elliptic equations. Conference Publications, 2007, 2007 (Special) : 5463. doi: 10.3934/proc.2007.2007.54 
[15] 
Michel Chipot, Senoussi Guesmia. On the asymptotic behavior of elliptic, anisotropic singular perturbations problems. Communications on Pure & Applied Analysis, 2009, 8 (1) : 179193. doi: 10.3934/cpaa.2009.8.179 
[16] 
Dingshi Li, Xiaohu Wang. Asymptotic behavior of stochastic complex GinzburgLandau equations with deterministic nonautonomous forcing on thin domains. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 449465. doi: 10.3934/dcdsb.2018181 
[17] 
Dapeng Du, Yifei Wu, Kaijun Zhang. On blowup criterion for the nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  A, 2016, 36 (7) : 36393650. doi: 10.3934/dcds.2016.36.3639 
[18] 
Keng Deng, Zhihua Dong. Blowup for the heat equation with a general memory boundary condition. Communications on Pure & Applied Analysis, 2012, 11 (5) : 21472156. doi: 10.3934/cpaa.2012.11.2147 
[19] 
Yohei Fujishima. Blowup set for a superlinear heat equation and pointedness of the initial data. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 46174645. doi: 10.3934/dcds.2014.34.4617 
[20] 
Pierre Garnier. Damping to prevent the blowup of the kortewegde vries equation. Communications on Pure & Applied Analysis, 2017, 16 (4) : 14551470. doi: 10.3934/cpaa.2017069 
2018 Impact Factor: 0.925
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