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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 165–179 (Mi smj2296)  
This article is cited in 3 scientific papers (total in 3 papers)

The Liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds

E. A. Mazepa

Volgograd State University, Faculty of Mathematics and Informational Technologies, Volgograd
Full-text PDF (335 kB) Citations (3)
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Abstract: We address the asymptotic behavior of solutions to semilinear equations on noncompact Riemannian manifolds. Under study is the relation between the solvability of some boundary and exterior boundary value problems as well as conditions for the fulfillment and stability of Liouville-type theorems for the solutions to semilinear equations on these manifolds.
Keywords: Liouville property, boundary value problems, elliptic equation, Riemannian manifold.
Received: 21.10.2010
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 134–145
DOI: https://doi.org/10.1134/S0037446612010119
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: E. A. Mazepa, “The Liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds”, Sibirsk. Mat. Zh., 53:1 (2012), 165–179; Siberian Math. J., 53:1 (2012), 134–145
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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