Abdallah El Hamidi & Gennady G. Laptev
In this paper, we obtain nonexistence results for global solutions to the system of higher-order semilinear partial differential inequalities
in cones and cone-like domains in , . Our results apply to nonnegative solutions and to solutions which change sign. Moreover, we provide a general formula of the critical exponent corresponding to this system. Our proofs are based on the test function method, developed by Mitidieri and Pohozaev.
Submitted March 10, 2002. Published November 14, 2002.
Math Subject Classifications: 35G25, 35R45.
Key Words: nonexistence, blow-up, higher-order differential inequalities, critical exponent.
Show me the PDF file (305K), TEX file, and other files for this article.
|Abdallah El hamidi |
Laboratoire de Mathematiques
Universite de La Rochelle
Avenue Michel Crepeau
17000 La Rochelle, France
|Gennady G. Laptev |
Department of Function Theory
Steklov Mathematical Institute
Gubkina 8, 117966 Moscow, Russia
Return to the EJDE web page