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Applicable Analysis
An International Journal
Volume 64, 1997 - Issue 1-2
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Original Articles

Symmetry properties of positive solutions of elliptic equations on symmetric domains

Pages 153-169 | Received 01 Oct 1996, Published online: 02 May 2007

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Adel Almarashi, Idir Mechai, Ahmed Msmali & Habib Yazidi. (2021) Numerical solution of a critical Sobolev exponent problem with weight on 𝕊3. Journal of Taibah University for Science 15:1, pages 240-247.
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Articles from other publishers (19)

Munemitsu Hirose. (2022) Existence of Positive and Symmetric Solutions for Some Elliptic Equation on Spherical Cap of <b><i>S</i></b><sup>3</sup>. Funkcialaj Ekvacioj 65:2, pages 215-260.
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Phillipo Lappicy. (2019) A Symmetry Property for Fully Nonlinear Elliptic Equations on the Sphere. Bulletin of the Brazilian Mathematical Society, New Series 51:2, pages 671-680.
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Carolina A. Rey. (2019) Elliptic equations with critical exponent on a torus invariant region of 𝕊3. Communications in Contemporary Mathematics 21:02, pages 1750100.
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Atsushi Kosaka & Yasuhito Miyamoto. (2019) The Emden–Fowler equation on a spherical cap of . Nonlinear Analysis 178, pages 110-132.
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Woocheol Choi, Seunghyeok Kim & Ki-Ahm Lee. (2016) Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents. Advances in Mathematics 298, pages 484-533.
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Yasuhito Miyamoto. (2013) Symmetry breaking bifurcation from solutions concentrating on the equator of $$\mathbb{S}^N$$. Journal d'Analyse Mathématique 121:1, pages 353-381.
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Fabio Punzo. (2012) On well-posedness of the semilinear heat equation on the sphere. Journal of Evolution Equations 12:3, pages 571-592.
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Marie-Françoise Bidaut-Véron, Augusto C. Ponce & Laurent Véron. (2010) Isolated boundary singularities of semilinear elliptic equations. Calculus of Variations and Partial Differential Equations 40:1-2, pages 183-221.
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Olivier Druet, Emmanuel Hebey & Jérôme Vétois. (2010) Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian. Journal of Functional Analysis 258:3, pages 999-1059.
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Li Ma. (2009) Three remarks on mean field equations. Pacific Journal of Mathematics 242:1, pages 167-171.
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Catherine Bandle & Juncheng Wei. (2007) Non-radial clustered spike solutions for semilinear elliptic problems on sN. Journal d'Analyse Mathématique 102:1, pages 181-208.
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Marie-Françoise Bidaut-Véron, Augusto C. Ponce & Laurent Véron. (2007) Boundary singularities of positive solutions of some nonlinear elliptic equations. Comptes Rendus Mathematique 344:2, pages 83-88.
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H. Brezis & L. A. Peletier. (2006) Elliptic equations with critical exponent on spherical caps of S3. Journal d'Analyse Mathématique 98:1, pages 279-316.
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Massimo Grossi. (2006) Asymptotic behaviour of the Kazdan–Warner solution in the annulus. Journal of Differential Equations 223:1, pages 96-111.
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Catherine Bandle & Rafael Benguria. (2002) The Brézis–Nirenberg Problem on S3. Journal of Differential Equations 178:1, pages 264-279.
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Luís Almeida & Yuxin Ge. 2001. Nonlinear Analysis and its Applications to Differential Equations. Nonlinear Analysis and its Applications to Differential Equations 161 173 .
F. Brock & J. Prajapat. (2000) Some new symmetry results for elliptic problems on the sphere and in Euclidean space. Rendiconti del Circolo Matematico di Palermo 49:3, pages 445-462.
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Wolfgang Reichel & Henghui Zou. (2000) Non-Existence Results for Semilinear Cooperative Elliptic Systems via Moving Spheres. Journal of Differential Equations 161:1, pages 219-243.
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Yūki Naito & Takashi Suzuki. (1999) A note on the moving sphere method. Pacific Journal of Mathematics 189:1, pages 107-115.
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