Nonexistence of solutions of semilinear inequalities in cone-like domains
type: Item
instance of: scholarly article
title: Nonexistence of solutions of semilinear inequalities in cone-like domains
zbMATH Open document ID: 1086.35153
author: G. G. Laptev
author: A. El Hamidi
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2005-04-18T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1093351377
review text: Nonexistence of global solutions to semilinear elliptic and `higher-order evolution' inequalities is studied. Two types of domains are considered: product of cones and product of cone-like domains. We find, in particular and with a different method, a result of \textit{S. Ohta} and \textit{A. Kaneko} [J. Fac. Sci., Univ. Tokyo, Sect. I A 40, No. 3, 635--650 (1993; Zbl 0799.35126 )] concerning Fujita's exponents on product domains. Our approach is based on the test-function method [cf. \textit{S. Pohozaev} and \textit{L. Véron}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 29, No. 2, 393--420 (2000; Zbl 0965.35197)]
Mathematics Subject Classification ID: 35R45
Mathematics Subject Classification ID: 35G25
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 2157931
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2157931