Multiple nontrivial solutions of resonant and nonresonant asymptotically linear problems

Ahmad, Shair

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

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ISSN 1088-6826(online) ISSN 0002-9939(print)

Multiple nontrivial solutions of resonant and nonresonant asymptotically linear problems

Author: Shair Ahmad
Journal: Proc. Amer. Math. Soc. 96 (1986), 405-409
MSC: Primary 35J65; Secondary 35B32
MathSciNet review: 822429
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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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