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

• NAITO Yuki

  Department of Applied Mathematics Faculty of Engineering Kobe University

Bibliographic Information

Other Title

• Nonexistence results of positive solutions for semilinear elliptic equations in Rn

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

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

  The Mathematical Society of Japan

Keywords

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

Details

• CRID: 1390282680093086208
• NII Article ID: 10004480525
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05230637
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1760610
• NDL BIB ID: 5475630
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5475630
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed