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Physical Sciences and Engineering Mathematics Analysis

Least energy solutions of the Emden–Fowler equation in hollow thin symmetric domains

Article ID Journal Published Year Pages File Type
4616507 Journal of Mathematical Analysis and Applications 2013 10 Pages PDF
Abstract

In this paper, the Emden–Fowler equation is studied in a hollow thin domain which is invariant under the action of a closed subgroup of the orthogonal group. Then it is proved that if the domain is thin enough, a least energy solution is not group invariant.

Keywords
Emden?Fowler equationGroup invariant solutionPositive solutionLeast energy solutionVariational method
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Least energy solutions of the Emden–Fowler equation in hollow thin symmetric domains
Authors
Ryuji Kajikiya,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Emden?Fowler equation
Group invariant solution
Positive solution
Least energy solution
Variational method
Algebra and Number Theory
Analysis
Applied Mathematics
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