Four positive solutions for a semilinear elliptic equation involving concave and convex nonlinearities |
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| Authors: | Tsung-fang Wu |
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| Institution: | Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan |
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| Abstract: | In this paper, we study the combined effect of concave and convex nonlinearities on the number of positive solutions for a semilinear elliptic equation. With the help of the Nehari manifold and the center mass function, we prove that there are at least four positive solutions for a semilinear elliptic equation in a finite strip with a hole. |
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| Keywords: | Semilinear elliptic equations Nehari manifold Concave&ndash convex nonlinearities |
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