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Matematicheskie Zametki, 2006, Volume 79, Issue 2, Pages 201–212
DOI: https://doi.org/10.4213/mzm2698 (Mi mzm2698) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a Ball

Yu. V. Volodin

Tula State University
Full-text PDF (208 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm2698
Abstract: We establish sufficient conditions for the absence of global solutions of the differential inequality $\Delta^2u\geqslant|u|^q$ in the exterior of a ball. We consider various boundary conditions and show that the critical exponents depend on these conditions. The proofs are based on the test function method developed by Mitidieri and Pokhozhaev.
Received: 07.10.2004
English version:
Mathematical Notes, 2006, Volume 79, Issue 2, Pages 185–195
DOI: https://doi.org/10.1007/s11006-006-0022-x
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: Yu. V. Volodin, “On the Critical Exponents of Certain Nonlinear Boundary-Value Problems with Biharmonic Operator in the Exterior of a Ball”, Mat. Zametki, 79:2 (2006), 201–212; Math. Notes, 79:2 (2006), 185–195
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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