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Proceedings of the American Mathematical Society

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Multiple nontrivial solutions of semilinear elliptic equations

Author: Norimichi Hirano
Journal: Proc. Amer. Math. Soc. 103 (1988), 468-472
MSC: Primary 35J65
MathSciNet review: 943068
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Abstract: We give a condition for a semilinear elliptic equation to have two nontrivial solutions. Our condition does not demand any differentiability of the nonlinear term.

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Keywords: Pseudo-monotone mapping, multiple solutions
Article copyright: © Copyright 1988 American Mathematical Society

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