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Is the TrudingerMoser nonlinearity a true critical nonlinearity?
1.  Department of Mathematics, Uppsala University, P.O. Box 480, 75 106 Uppsala, Sweden 
[1] 
Antonio Azzollini. On a functional satisfying a weak PalaisSmale condition. Discrete and Continuous Dynamical Systems, 2014, 34 (5) : 18291840. doi: 10.3934/dcds.2014.34.1829 
[2] 
Djairo G. De Figueiredo, João Marcos do Ó, Bernhard Ruf. Elliptic equations and systems with critical TrudingerMoser nonlinearities. Discrete and Continuous Dynamical Systems, 2011, 30 (2) : 455476. doi: 10.3934/dcds.2011.30.455 
[3] 
Xiaobao Zhu. Remarks on singular trudingermoser type inequalities. Communications on Pure and Applied Analysis, 2020, 19 (1) : 103112. doi: 10.3934/cpaa.2020006 
[4] 
A. Azzollini. Erratum to: "On a functional satisfying a weak PalaisSmale condition". Discrete and Continuous Dynamical Systems, 2014, 34 (11) : 49874987. doi: 10.3934/dcds.2014.34.4987 
[5] 
Anouar Bahrouni. TrudingerMoser type inequality and existence of solution for perturbed nonlocal elliptic operators with exponential nonlinearity. Communications on Pure and Applied Analysis, 2017, 16 (1) : 243252. doi: 10.3934/cpaa.2017011 
[6] 
Sami Aouaoui, Rahma Jlel. Singular weighted sharp TrudingerMoser inequalities defined on $ \mathbb{R}^N $ and applications to elliptic nonlinear equations. Discrete and Continuous Dynamical Systems, 2022, 42 (2) : 781813. doi: 10.3934/dcds.2021137 
[7] 
Shiqiu Fu, Kanishka Perera. On a class of semipositone problems with singular TrudingerMoser nonlinearities. Discrete and Continuous Dynamical Systems  S, 2021, 14 (5) : 17471756. doi: 10.3934/dcdss.2020452 
[8] 
Kanishka Perera, Marco Squassina. Bifurcation results for problems with fractional TrudingerMoser nonlinearity. Discrete and Continuous Dynamical Systems  S, 2018, 11 (3) : 561576. doi: 10.3934/dcdss.2018031 
[9] 
Scott Nollet, Frederico Xavier. Global inversion via the PalaisSmale condition. Discrete and Continuous Dynamical Systems, 2002, 8 (1) : 1728. doi: 10.3934/dcds.2002.8.17 
[10] 
Van Hoang Nguyen. The Hardy–Moser–Trudinger inequality via the transplantation of Green functions. Communications on Pure and Applied Analysis, 2020, 19 (7) : 35593574. doi: 10.3934/cpaa.2020155 
[11] 
Xumin Wang. Singular HardyTrudingerMoser inequality and the existence of extremals on the unit disc. Communications on Pure and Applied Analysis, 2019, 18 (5) : 27172733. doi: 10.3934/cpaa.2019121 
[12] 
Tomasz Cieślak. TrudingerMoser type inequality for radially symmetric functions in a ring and applications to KellerSegel in a ring. Discrete and Continuous Dynamical Systems  B, 2013, 18 (10) : 25052512. doi: 10.3934/dcdsb.2013.18.2505 
[13] 
Mengjie Zhang. Extremal functions for a class of trace TrudingerMoser inequalities on a compact Riemann surface with smooth boundary. Communications on Pure and Applied Analysis, 2021, 20 (4) : 17211735. doi: 10.3934/cpaa.2021038 
[14] 
Elvise Berchio, Debdip Ganguly. Improved higher order poincaré inequalities on the hyperbolic space via Hardytype remainder terms. Communications on Pure and Applied Analysis, 2016, 15 (5) : 18711892. doi: 10.3934/cpaa.2016020 
[15] 
Guozhen Lu, Yunyan Yang. Sharp constant and extremal function for the improved MoserTrudinger inequality involving $L^p$ norm in two dimension. Discrete and Continuous Dynamical Systems, 2009, 25 (3) : 963979. doi: 10.3934/dcds.2009.25.963 
[16] 
Nguyen Lam. Equivalence of sharp TrudingerMoserAdams Inequalities. Communications on Pure and Applied Analysis, 2017, 16 (3) : 973998. doi: 10.3934/cpaa.2017047 
[17] 
Changliang Zhou, Chunqin Zhou. Extremal functions of MoserTrudinger inequality involving FinslerLaplacian. Communications on Pure and Applied Analysis, 2018, 17 (6) : 23092328. doi: 10.3934/cpaa.2018110 
[18] 
Prosenjit Roy. On attainability of MoserTrudinger inequality with logarithmic weights in higher dimensions. Discrete and Continuous Dynamical Systems, 2019, 39 (9) : 52075222. doi: 10.3934/dcds.2019212 
[19] 
Yamin Wang. On nonexistence of extremals for the TrudingerMoser functionals involving $ L^p $ norms. Communications on Pure and Applied Analysis, 2020, 19 (9) : 42574268. doi: 10.3934/cpaa.2020191 
[20] 
Judith Vancostenoble. Improved HardyPoincaré inequalities and sharp Carleman estimates for degenerate/singular parabolic problems. Discrete and Continuous Dynamical Systems  S, 2011, 4 (3) : 761790. doi: 10.3934/dcdss.2011.4.761 
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