Singular solutions of the scalar field equation with a critical exponent

Jann Long Chern; Eiji Yanagida

doi:10.1007/978-3-319-41538-3_16

Singular solutions of the scalar field equation with a critical exponent

Jann Long Chern, Eiji Yanagida^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

We consider radially symmetric singular solutions of the scalar field equation with the Sobolev critical exponent. It is shown that there exists a unique special singular solution, and other infinitely many singular solutions are oscillatory around the special singular solution.

Original language	English
Title of host publication	Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015
Editors	Carlo Nitsch, Filippo Gazzola, Kazuhiro Ishige, Paolo Salani
Publisher	Springer New York LLC
Pages	277-288
Number of pages	12
ISBN (Print)	9783319415369
DOIs	https://doi.org/10.1007/978-3-319-41538-3_16
Publication status	Published - 2016
Externally published	Yes
Event	Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015 - Palinuro, Italy Duration: 2015 May 25 → 2015 May 29

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	176
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015
Country/Territory	Italy
City	Palinuro
Period	2015/05/25 → 2015/05/29

Keywords

Critical exponent
Scalar field equation
Singular solution

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-319-41538-3_16

Cite this

Chern, J. L., & Yanagida, E. (2016). Singular solutions of the scalar field equation with a critical exponent. In C. Nitsch, F. Gazzola, K. Ishige, & P. Salani (Eds.), Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015 (pp. 277-288). (Springer Proceedings in Mathematics and Statistics; Vol. 176). Springer New York LLC. https://doi.org/10.1007/978-3-319-41538-3_16

Singular solutions of the scalar field equation with a critical exponent. / Chern, Jann Long; Yanagida, Eiji.
Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015. ed. / Carlo Nitsch; Filippo Gazzola; Kazuhiro Ishige; Paolo Salani. Springer New York LLC, 2016. p. 277-288 (Springer Proceedings in Mathematics and Statistics; Vol. 176).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chern, JL & Yanagida, E 2016, Singular solutions of the scalar field equation with a critical exponent. in C Nitsch, F Gazzola, K Ishige & P Salani (eds), Geometric Properties for Parabolic and Elliptic PDE’s - GPPEPDEs 2015. Springer Proceedings in Mathematics and Statistics, vol. 176, Springer New York LLC, pp. 277-288, Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDE’s, GPPEPDEs 2015, Palinuro, Italy, 2015/05/25. https://doi.org/10.1007/978-3-319-41538-3_16

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keywords = "Critical exponent, Scalar field equation, Singular solution",

author = "Chern, {Jann Long} and Eiji Yanagida",

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Singular solutions of the scalar field equation with a critical exponent

Abstract

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Conference

Keywords

ASJC Scopus subject areas

Access to Document

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