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A class of nonsymmetric forms on the canonical simplex of $\R^d$
On the prescribed scalar curvature on $3$half spheres: Multiplicity results and Morse inequalities at infinity
1.  Département de Mathématiques, Faculté des Sciences de Sfax, Route Soukra, Sfax, Tunisia 
2.  Mathematisches institut, Universität Tübingen, Auf der Morgenstelle 10, D72076 Tubingen, Germany 
[1] 
Yoshikazu Giga, Yukihiro Seki, Noriaki Umeda. On decay rate of quenching profile at space infinity for axisymmetric mean curvature flow. Discrete and Continuous Dynamical Systems, 2011, 29 (4) : 14631470. doi: 10.3934/dcds.2011.29.1463 
[2] 
Mohameden Ahmedou, Mohamed Ben Ayed, Marcello Lucia. On a resonant mean field type equation: A "critical point at Infinity" approach. Discrete and Continuous Dynamical Systems, 2017, 37 (4) : 17891818. doi: 10.3934/dcds.2017075 
[3] 
Zixiao Liu, Jiguang Bao. Asymptotic expansion of 2dimensional gradient graph with vanishing mean curvature at infinity. Communications on Pure and Applied Analysis, 2022, 21 (9) : 29112931. doi: 10.3934/cpaa.2022081 
[4] 
Zhirong He, Weinian Zhang. Critical periods of a periodic annulus linking to equilibria at infinity in a cubic system. Discrete and Continuous Dynamical Systems, 2009, 24 (3) : 841854. doi: 10.3934/dcds.2009.24.841 
[5] 
Guofa Li, Yisheng Huang. Positive solutions for critical quasilinear Schrödinger equations with potentials vanishing at infinity. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 39713989. doi: 10.3934/dcdsb.2021214 
[6] 
Xinqun Mei, Jundong Zhou. The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space. Communications on Pure and Applied Analysis, 2021, 20 (3) : 11871198. doi: 10.3934/cpaa.2021012 
[7] 
Luis Barreira, Claudia Valls. Topological conjugacies and behavior at infinity. Communications on Pure and Applied Analysis, 2014, 13 (2) : 687701. doi: 10.3934/cpaa.2014.13.687 
[8] 
Yinbin Deng, Wei Shuai. Positive solutions for quasilinear Schrödinger equations with critical growth and potential vanishing at infinity. Communications on Pure and Applied Analysis, 2014, 13 (6) : 22732287. doi: 10.3934/cpaa.2014.13.2273 
[9] 
Jaume Llibre, Jesús S. Pérez del Río, J. Angel Rodríguez. Structural stability of planar semihomogeneous polynomial vector fields applications to critical points and to infinity. Discrete and Continuous Dynamical Systems, 2000, 6 (4) : 809828. doi: 10.3934/dcds.2000.6.809 
[10] 
Yinbin Deng, Yi Li, Wei Shuai. Existence of solutions for a class of pLaplacian type equation with critical growth and potential vanishing at infinity. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 683699. doi: 10.3934/dcds.2016.36.683 
[11] 
Mingwen Fei, Huicheng Yin. Nodal solutions of 2D critical nonlinear Schrödinger equations with potentials vanishing at infinity. Discrete and Continuous Dynamical Systems, 2015, 35 (7) : 29212948. doi: 10.3934/dcds.2015.35.2921 
[12] 
Jingxian Sun, Shouchuan Hu. Flowinvariant sets and critical point theory. Discrete and Continuous Dynamical Systems, 2003, 9 (2) : 483496. doi: 10.3934/dcds.2003.9.483 
[13] 
Victor S. Kozyakin, Alexander M. Krasnosel’skii, Dmitrii I. Rachinskii. Arnold tongues for bifurcation from infinity. Discrete and Continuous Dynamical Systems  S, 2008, 1 (1) : 107116. doi: 10.3934/dcdss.2008.1.107 
[14] 
Erik Lindgren, Peter Lindqvist. Infinityharmonic potentials and their streamlines. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 47314746. doi: 10.3934/dcds.2019192 
[15] 
Victor Kozyakin, Alexander M. Krasnosel’skii, Dmitrii Rachinskii. Asymptotics of the Arnold tongues in problems at infinity. Discrete and Continuous Dynamical Systems, 2008, 20 (4) : 9891011. doi: 10.3934/dcds.2008.20.989 
[16] 
Alexander Krasnosel'skii, Jean Mawhin. The index at infinity for some vector fields with oscillating nonlinearities. Discrete and Continuous Dynamical Systems, 2000, 6 (1) : 165174. doi: 10.3934/dcds.2000.6.165 
[17] 
Michel Chipot, Aleksandar Mojsic, Prosenjit Roy. On some variational problems set on domains tending to infinity. Discrete and Continuous Dynamical Systems, 2016, 36 (7) : 36033621. doi: 10.3934/dcds.2016.36.3603 
[18] 
Guillaume James, Dmitry Pelinovsky. Breather continuation from infinity in nonlinear oscillator chains. Discrete and Continuous Dynamical Systems, 2012, 32 (5) : 17751799. doi: 10.3934/dcds.2012.32.1775 
[19] 
Yukihiro Seki. A remark on blowup at space infinity. Conference Publications, 2009, 2009 (Special) : 691696. doi: 10.3934/proc.2009.2009.691 
[20] 
Francesco Della Pietra, Ireneo Peral. Breaking of resonance for elliptic problems with strong degeneration at infinity. Communications on Pure and Applied Analysis, 2011, 10 (2) : 593612. doi: 10.3934/cpaa.2011.10.593 
2021 Impact Factor: 1.588
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