Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition |
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Authors: | Chan-Gyun Kim Eun Kyoung Lee |
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Affiliation: | 1.Department of Mathematics Education,Pusan National University,Busan,Korea |
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Abstract: | In this paper, a semilinear elliptic equation with a nonlinear boundary condition and a perturbation in the reaction term is studied. The existence of a positive solution and another non-zero solution to the problem is proved when (|lambda |) is small enough without any specific assumptions on the perturbation term. Moreover, it is shown that the non-zero solution becomes a positive one for small (lambda >0) under suitable assumptions on the perturbation term. |
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