Nonexistence results of positive solutions for semilinear elliptic equations in Rn

• NAITO Yuki

  Department of Applied Mathematics Faculty of Engineering Kobe University

書誌事項

タイトル別名

• Nonexistence results of positive solutions for semilinear elliptic equations in \bm{R}<SUP>n</SUP>

抄録

We consider the global properties of nonnegative solutions of the semilinear elliptic equations in the entire space. By employing Pohozaev identity in the entire space and the results concerning the asymptotic behavior of nonnegative solutions, we establish some theorems of Liouville type.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (3), 637-644, 2000

  一般社団法人 日本数学会

キーワード

• Semilinear elliptic equations
• entire solutions
• nonexistence results
• Pohozaev identity

詳細情報

• CRID: 1390282680093086208
• NII論文ID: 10004480525
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05230637
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1760610
• NDL書誌ID: 5475630
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5475630
• 本文言語コード: en
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