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Three positive solutions of semilinear elliptic equations in the half space with a hole
Authors:Huei-Li Lin
Institution:Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan, Taiwan
Abstract:In this paper, assume that h is nonnegative and ‖hL2>0, we prove that if ‖hL2 is sufficiently small, then there are at least three positive solutions of Eq. (1) in View the MathML source, where D is a C1,1 bounded domain in View the MathML source.
Keywords:Three positive solutions  Semilinear elliptic equations  Minimax method  (PS)-sequence
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