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1. A note on positive evanescent solutions for a certain class of elliptic problems

Author

Djebali, Smaïl and Orpel, Aleksandra

Subjects
*ELLIPTIC differential equations, *ELLIPTIC functions, *NONLINEAR theories, *ASYMPTOTES, *MATHEMATICAL analysis, *MATHEMATICS
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]

Published
2009
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