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Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains
1.  Department of Mathematics, The University of British Columbia, Room 121, 1984 Mathematics Road, Vancouver, B.C., Canada V6T 1Z2 
2.  Dipartimento di Matematica, Università degli Studi "Roma Tre”, 00146 Roma, Italy 
3.  Department of Mathematics, The University of British Columbia, Vancouver BC Canada V6T 1Z2 
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Baishun Lai, Qing Luo. Regularity of the extremal solution for a fourthorder elliptic problem with singular nonlinearity. Discrete and Continuous Dynamical Systems, 2011, 30 (1) : 227241. doi: 10.3934/dcds.2011.30.227 
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Jagmohan Tyagi, Ram Baran Verma. Positive solution to extremal Pucci's equations with singular and gradient nonlinearity. Discrete and Continuous Dynamical Systems, 2019, 39 (5) : 26372659. doi: 10.3934/dcds.2019110 
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Juan Dávila, Louis Dupaigne, Marcelo Montenegro. The extremal solution of a boundary reaction problem. Communications on Pure and Applied Analysis, 2008, 7 (4) : 795817. doi: 10.3934/cpaa.2008.7.795 
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Hongyu Ye. Positive high energy solution for Kirchhoff equation in $\mathbb{R}^{3}$ with superlinear nonlinearities via NehariPohožaev manifold. Discrete and Continuous Dynamical Systems, 2015, 35 (8) : 38573877. doi: 10.3934/dcds.2015.35.3857 
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Guillaume Warnault. Regularity of the extremal solution for a biharmonic problem with general nonlinearity. Communications on Pure and Applied Analysis, 2009, 8 (5) : 17091723. doi: 10.3934/cpaa.2009.8.1709 
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Yuan Li. Extremal solution and Liouville theorem for anisotropic elliptic equations. Communications on Pure and Applied Analysis, 2021, 20 (12) : 40634082. doi: 10.3934/cpaa.2021144 
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Dominika Pilarczyk. Asymptotic stability of singular solution to nonlinear heat equation. Discrete and Continuous Dynamical Systems, 2009, 25 (3) : 9911001. doi: 10.3934/dcds.2009.25.991 
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GuiDong Li, YongYong Li, XiaoQi Liu, ChunLei Tang. A positive solution of asymptotically periodic Choquard equations with locally defined nonlinearities. Communications on Pure and Applied Analysis, 2020, 19 (3) : 13511365. doi: 10.3934/cpaa.2020066 
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Yu Su. Ground state solution of critical Schrödinger equation with singular potential. Communications on Pure and Applied Analysis, 2021, 20 (10) : 33473371. doi: 10.3934/cpaa.2021108 
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Maicon Sônego. Stable solution induced by domain geometry in the heat equation with nonlinear boundary conditions on surfaces of revolution. Discrete and Continuous Dynamical Systems  B, 2019, 24 (11) : 59815988. doi: 10.3934/dcdsb.2019116 
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Zhijun Zhang. Optimal global asymptotic behavior of the solution to a singular mongeampère equation. Communications on Pure and Applied Analysis, 2020, 19 (2) : 11291145. doi: 10.3934/cpaa.2020053 
[20] 
Yanjun Liu, Chungen Liu. Ground state solution and multiple solutions to elliptic equations with exponential growth and singular term. Communications on Pure and Applied Analysis, 2020, 19 (5) : 28192838. doi: 10.3934/cpaa.2020123 
2020 Impact Factor: 1.392
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