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Matematicheskie Zametki, 2002, Volume 71, Issue 6, Pages 855–866
DOI: https://doi.org/10.4213/mzm390 (Mi mzm390) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains

G. G. Laptev

Tula State University
Full-text PDF (225 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm390
Abstract: We study some nonexistence problems for the solutions of semilinear elliptic differential inequalities and systems of second order in conic domains. The proof is based on the trial function method developed by Mitidieri and Pokhozhaev without recourse to comparison theorems and to the maximum principle.
Received: 15.01.2001
English version:
Mathematical Notes, 2002, Volume 71, Issue 6, Pages 782–793
DOI: https://doi.org/10.1023/A:1015868812016
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: G. G. Laptev, “Nonexistence of Solutions of Elliptic Differential Inequalities in Conic Domains”, Mat. Zametki, 71:6 (2002), 855–866; Math. Notes, 71:6 (2002), 782–793
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. Dancer E.N., Wei J., Weth T., “A Priori Bounds Versus Multiple Existence of Positive Solutions for a Nonlinear Schrodinger System”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 27:3 (2010), 953–969  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    2. J. Hay, “On Necessary Conditions for the Existence of Local Solutions to Singular Nonlinear Ordinary Differential Equations and Inequalities”, Math. Notes, 72:6 (2002), 847–857  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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