NDLI: Symmetry Properties and Isolated Singularities of Positive Solutions of Nonlinear Elliptic Equations

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Symmetry Properties and Isolated Singularities of Positive Solutions of Nonlinear Elliptic Equations

Content Provider	Scilit
Author	Gidas, Basilis
Copyright Year	2017
Description	This chapter discusses whether positive solutions of a second order elliptic nonlinear partial differential equation with a certain symmetry (e.g., spherical symmetry) exhibit the same symmetry. For a large class of nonlinearities, it shows that positive solutions respect the symmetry of the equation. The chapter treats equations which are classical approximations to quantum or statistical mechanics systems. A symmetry may not be broken at the classical level, but broken only after quantum or thermodynamic effects are taken into account. The chapter also provides positive solutions of the second order elliptic nonlinear partial differential equation in bounded domains. Book Name: Nonlinear Partial Differential Equations in Engineering and Applied Science
Related Links	https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9780203745465-18&type=chapterpdf
Ending Page	273
Page Count	19
Starting Page	255
DOI	10.1201/9780203745465-18
Language	English
Publisher	Informa UK Limited
Publisher Date	2017-10-02
Access Restriction	Open
Subject Keyword	Book Name: Nonlinear Partial Differential Equations in Engineering and Applied Science Condensed Matter Physics Differential Symmetry Positive Solutions Equation Order Elliptic Nonlinear Second Order Elliptic
Content Type	Text
Resource Type	Chapter

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