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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] 
Shiqiu Fu, Kanishka Perera. On a class of semipositone problems with singular TrudingerMoser nonlinearities. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020452 
[2] 
Gongbao Li, Tao Yang. Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020469 
[3] 
Yifan Chen, Thomas Y. Hou. Function approximation via the subsampled Poincaré inequality. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 169199. doi: 10.3934/dcds.2020296 
[4] 
Anna Canale, Francesco Pappalardo, Ciro Tarantino. Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials. Communications on Pure & Applied Analysis, 2021, 20 (1) : 405425. doi: 10.3934/cpaa.2020274 
[5] 
Antoine Benoit. Weak wellposedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry. Communications on Pure & Applied Analysis, 2020, 19 (12) : 54755486. doi: 10.3934/cpaa.2020248 
[6] 
Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 455469. doi: 10.3934/dcds.2020380 
[7] 
João Marcos do Ó, Bruno Ribeiro, Bernhard Ruf. Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 277296. doi: 10.3934/dcds.2020138 
[8] 
Shipra Singh, Aviv Gibali, Xiaolong Qin. Cooperation in traffic network problems via evolutionary split variational inequalities. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020170 
[9] 
Shenglan Xie, Maoan Han, Peng Zhu. A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020340 
[10] 
Shengbing Deng, Tingxi Hu, ChunLei Tang. $ N $Laplacian problems with critical double exponential nonlinearities. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 9871003. doi: 10.3934/dcds.2020306 
[11] 
Zuliang Lu, Fei Huang, Xiankui Wu, Lin Li, Shang Liu. Convergence and quasioptimality of $ L^2 $norms based an adaptive finite element method for nonlinear optimal control problems. Electronic Research Archive, 2020, 28 (4) : 14591486. doi: 10.3934/era.2020077 
[12] 
Marco Ghimenti, Anna Maria Micheletti. Compactness results for linearly perturbed Yamabe problem on manifolds with boundary. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020453 
[13] 
Andreu Ferré Moragues. Properties of multicorrelation sequences and large returns under some ergodicity assumptions. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020386 
[14] 
José Madrid, João P. G. Ramos. On optimal autocorrelation inequalities on the real line. Communications on Pure & Applied Analysis, 2021, 20 (1) : 369388. doi: 10.3934/cpaa.2020271 
[15] 
Qingfang Wang, Hua Yang. Solutions of nonlocal problem with critical exponent. Communications on Pure & Applied Analysis, 2020, 19 (12) : 55915608. doi: 10.3934/cpaa.2020253 
[16] 
Hua Qiu, ZhengAn Yao. The regularized Boussinesq equations with partial dissipations in dimension two. Electronic Research Archive, 2020, 28 (4) : 13751393. doi: 10.3934/era.2020073 
[17] 
Mostafa Mbekhta. Representation and approximation of the polar factor of an operator on a Hilbert space. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020463 
[18] 
Denis Bonheure, Silvia Cingolani, Simone Secchi. Concentration phenomena for the SchrödingerPoisson system in $ \mathbb{R}^2 $. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020447 
[19] 
Ilyasse Lamrani, Imad El Harraki, Ali Boutoulout, FatimaZahrae El Alaoui. Feedback stabilization of bilinear coupled hyperbolic systems. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020434 
[20] 
Thierry Horsin, Mohamed Ali Jendoubi. On the convergence to equilibria of a sequence defined by an implicit scheme. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020465 
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