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Exact Multiplicity of Positive Solutions for a Class of Semilinear Problems

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Abstract:

We establish an exact multiplicity result of positive solutions ofDeltau+lambdaf(u)=0 in Bn, u=0 on Bn,whereBn is the unit ball, f satisfies f\" changes sign only once and asymptotically sublinear or linear. The nonlinearities which we are concerned with here include f(u)=u(u-b)(c-u) for 0<2b

Document Type: Research Article

Affiliations: Department of Mathematics, Brigham Young University, Provo, Utah, 84602

Publication date: June 1, 1998

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