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On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation |
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| Authors: | Henghui Zou |
| Abstract: | Existence of a positive solution was establsihed via bifurcation theory for sernilinear elliptic boundary value problems. With the aid of maximum principles and a priori estimates, global behavior of the bifurcation curve was obtained. In particular, a general sufficient condition was given for existence of multiple positive solutions when the nonlinearity is sub-critical and indefinite. |
| Keywords: | Existence bifurcation a priori estimates indefinite maximum principles |
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