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A note on positive evanescent solutions for a certain class of elliptic problems
- Source :
-
Journal of Mathematical Analysis & Applications . May2009, Vol. 353 Issue 1, p215-223. 9p. - Publication Year :
- 2009
-
Abstract
- Abstract: This paper is devoted to the existence and properties of solutions of the following class of nonlinear elliptic differential equations , , . We prove existence of positive solutions vanishing at positive infinity. Our approach is based on the subsolution and supersolution method. The nonlinearity f covers both sublinear and superlinear cases and does not necessarily satisfy . The asymptotic behavior of solutions is also described. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 353
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36062440
- Full Text :
- https://doi.org/10.1016/j.jmaa.2008.12.003