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Original Articles

Non-existence and symmetry of solutions to the scalar curvature equation

Pages 229-234 | Received 01 May 1995, Published online: 05 Aug 2008

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Chiun-Chuan Chen, Chiun-Chuan Chen, Chang-Shou Lin & Chang-Shou Lin. (1999) Blowing up with infinite energy of conformal metrics on Sn . Communications in Partial Differential Equations 24:5-6, pages 785-799.
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Bianchi Gabriele. (1997) Non—existence of positive solutions to semilinear elliptic equations on r” or r” through the method of moving planes. Communications in Partial Differential Equations 22:9-10, pages 1671-1690.
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Articles from other publishers (26)

Yuan Gao, Yuxia Guo & Yichen Hu. (2024) Non-Degeneracy of $$\mathcal {O}(3)$$ Invariant Solutions for Higher Order Prescribed Curvature Problem and Applications. The Journal of Geometric Analysis 34:7.
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Yuan Gao, Yuxia Guo & Yichen Hu. (2023) Double-tower solutions for higher-order prescribed curvature problem. Annali di Matematica Pura ed Applicata (1923 -).
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Qing Guo, Junyuan Liu & Shuangjie Peng. (2023) Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type. Journal of Differential Equations 355, pages 16-61.
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Lipeng Duan, Monica Musso & Suting Wei. (2023) Doubling the equatorial for the prescribed scalar curvature problem on $${{\mathbb {S}}}^N$$. Nonlinear Differential Equations and Applications NoDEA 30:3.
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Peng Luo, Shuangjie Peng & Yang Zhou. (2023) On the prescribed scalar curvature problem with very degenerate prescribed functions. Calculus of Variations and Partial Differential Equations 62:3.
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Yuxia Guo & Yichen Hu. (2022) Non-degeneracy of bubble solutions for higher order prescribed curvature problem. Advanced Nonlinear Studies 22:1, pages 15-40.
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Francesca Dalbono, Matteo Franca & Andrea Sfecci. (2020) Multiplicity of Radial Ground States for the Scalar Curvature Equation Without Reciprocal Symmetry. Journal of Dynamics and Differential Equations 34:1, pages 701-720.
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YanYan Li, Luc Nguyen & Bo Wang. (2021) The axisymmetric σ-Nirenberg problem. Journal of Functional Analysis 281:9, pages 109198.
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Yuxia Guo & Ting Liu. (2020) The prescribed scalar curvature problem for polyharmonic operator. Annali di Matematica Pura ed Applicata (1923 -) 200:3, pages 953-982.
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Yuxia Guo & Ting Liu. (2021) Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth. Advanced Nonlinear Studies 21:2, pages 421-445.
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DaQing Zhang. (2020) The concentrated solutions on the nonhomogeneous scalar curvature problem. Journal of Mathematical Analysis and Applications, pages 123967.
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Francesca Dalbono, Matteo Franca & Andrea Sfecci. (2019) Multiplicity of ground states for the scalar curvature equation. Annali di Matematica Pura ed Applicata (1923 -) 199:1, pages 273-298.
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Shuangjie Peng, Chunhua Wang & Suting Wei. (2019) Constructing solutions for the prescribed scalar curvature problem via local Pohozaev identities. Journal of Differential Equations 267:4, pages 2503-2530.
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Man Chun Leung & Feng Zhou. (2018) Conformal scalar curvature equation on Sn: Functions with two close critical points (Twin Pseudo-Peaks). Communications in Contemporary Mathematics 20:05, pages 1750051.
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Yuxia Guo & Bo Li. (2012) Infinitely many solutions for the prescribed curvature problem of polyharmonic operator. Calculus of Variations and Partial Differential Equations 46:3-4, pages 809-836.
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Athanase Cotsiolis & Nikos Labropoulos. (2011) Exponential elliptic boundary value problems on a solid torus in the critical of supercritical case. Journal of Differential Equations 251:3, pages 651-687.
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Juncheng Wei & Shusen Yan. (2010) Infinitely many solutions for the prescribed scalar curvature problem on . Journal of Functional Analysis 258:9, pages 3048-3081.
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Matthias Schneider. (2009) The scalar curvature equation on . Journal of Functional Analysis 257:9, pages 2840-2863.
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Matthias Schneider. (2007) Prescribing scalar curvature on \( S^{3} \). Annales de l'Institut Henri Poincaré C, Analyse non linéaire 24:4, pages 563-587.
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Matthias Schneider. (2007) A priori estimates for the scalar curvature equation on S 3. Calculus of Variations and Partial Differential Equations 29:4.
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Y. Li. (2002) Nonlinear partial differential equations and applications: Some nonlinear elliptic equations from geometry. Proceedings of the National Academy of Sciences 99:24, pages 15287-15290.
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E.S. Noussair & Shusen Yan. (2001) The scalar curvature equation on. Nonlinear Analysis: Theory, Methods & Applications 45:4, pages 483-514.
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Wenxiong Chen & Congming Li. (2001) Prescribing scalar curvature on S n . Pacific Journal of Mathematics 199:1, pages 61-78.
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Shusen Yan. (2000) Concentration of Solutions for the Scalar Curvature Equation on RN. Journal of Differential Equations 163:2, pages 239-264.
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Steven D. Taliaferro. (1999) Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations. Journal of Differential Equations 156:2, pages 219-253.
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YANYAN LI & MEIJUN ZHU. (2012) YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS. Communications in Contemporary Mathematics 01:01, pages 1-50.
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