Finitely many solutions for a class of boundary value problems with superlinear convex nonlinearity |
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Authors: | Vicenţiu Rădulescu |
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Affiliation: | (1) Department of Mathematics, University of Craiova, 200 585 Craiova, Romania |
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Abstract: | We consider the nonlinear Sturm-Liouville problem –u = f(u) + h in (0, 1), u(0) = u(1) = 0, where h L2(0,1) and f is a positive convex nonlinearity with superlinear growth at infinity. Our main result establishes that the above boundary value problem admits a finite number of solutions but it cannot have infinitely many solutions.Received: 8 July 2004 |
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Keywords: | 34A34 34B18 34B24 34L30 |
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