Multiple solutions for a class of semilinear elliptic equations

Jin, Zhiren

doi:10.1090/S0002-9939-97-04199-3

Multiple solutions for a class of semilinear elliptic equations
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by Zhiren Jin PDF

Proc. Amer. Math. Soc. 125 (1997), 3659-3667 Request permission

Abstract:

We show that for a class of semilinear elliptic equations there are at least three nontrivial solutions. Existence of infinitely many solutions is also shown when the nonlinear term is odd. In our results, the nonlinear term can grow super-critically at infinity.

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