Multiple nontrivial solutions of resonant and nonresonant asymptotically linear problems

Ahmad, Shair

doi:10.1090/S0002-9939-1986-0822429-2

Multiple nontrivial solutions of resonant and nonresonant asymptotically linear problems
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by Shair Ahmad PDF

Proc. Amer. Math. Soc. 96 (1986), 405-409 Request permission

Abstract:

We give simple conditions under which a second order semilinear elliptic boundary value problem with the zero solution has at least two nonzero solutions. Our conditions involve the change in the spectrum of the linearization of the problem going from zero to infinity.

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