
Previous Article
Limiting profiles of semilinear elliptic equations with large advection in population dynamics
 DCDS Home
 This Issue

Next Article
On emerging scarred surfaces for the Einstein vacuum equations
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 
[1] 
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 
[2] 
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 
[3] 
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 
[4] 
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 
[5] 
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 
[6] 
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 
[7] 
Canghua Jiang, Kok Lay Teo, Ryan Loxton, GuangRen Duan. A neighboring extremal solution for an optimal switched impulsive control problem. Journal of Industrial and Management Optimization, 2012, 8 (3) : 591609. doi: 10.3934/jimo.2012.8.591 
[8] 
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 
[9] 
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 
[10] 
Dominique Blanchard, Olivier Guibé, Hicham Redwane. Existence and uniqueness of a solution for a class of parabolic equations with two unbounded nonlinearities. Communications on Pure and Applied Analysis, 2016, 15 (1) : 197217. doi: 10.3934/cpaa.2016.15.197 
[11] 
Carl. T. Kelley, Liqun Qi, Xiaojiao Tong, Hongxia Yin. Finding a stable solution of a system of nonlinear equations arising from dynamic systems. Journal of Industrial and Management Optimization, 2011, 7 (2) : 497521. doi: 10.3934/jimo.2011.7.497 
[12] 
Ling Mi. Asymptotic behavior for the unique positive solution to a singular elliptic problem. Communications on Pure and Applied Analysis, 2015, 14 (3) : 10531072. doi: 10.3934/cpaa.2015.14.1053 
[13] 
Fouad Hadj Selem, Hiroaki Kikuchi, Juncheng Wei. Existence and uniqueness of singular solution to stationary Schrödinger equation with supercritical nonlinearity. Discrete and Continuous Dynamical Systems, 2013, 33 (10) : 46134626. doi: 10.3934/dcds.2013.33.4613 
[14] 
Galina V. Grishina. On positive solution to a second order elliptic equation with a singular nonlinearity. Communications on Pure and Applied Analysis, 2010, 9 (5) : 13351343. doi: 10.3934/cpaa.2010.9.1335 
[15] 
Kin Ming Hui, Jinwan Park. Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured euclidean space. Discrete and Continuous Dynamical Systems, 2021, 41 (11) : 54735508. doi: 10.3934/dcds.2021085 
[16] 
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 
[17] 
Shasha Zheng, Shaoheng Zhang. New approach to the singular solution of implicit ordinary differential equations. Discrete and Continuous Dynamical Systems  S, 2022, 15 (11) : 34133427. doi: 10.3934/dcdss.2022149 
[18] 
Wenjie Li, Lihong Huang, Jinchen Ji. Globally exponentially stable periodic solution in a general delayed predatorprey model under discontinuous prey control strategy. Discrete and Continuous Dynamical Systems  B, 2020, 25 (7) : 26392664. doi: 10.3934/dcdsb.2020026 
[19] 
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 
[20] 
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 
2021 Impact Factor: 1.588
Tools
Metrics
Other articles
by authors
[Back to Top]