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- W2035222798 abstract "This paper is concerned with the existence and multiplicity of positive solutions of the following equation−u″+u−2((|u|2)″)u=a(x)|u|p−2u+λk(x)u where u∈H1(R). We will prove that the modified term 2((|u|2)″)u is helpful to find multiple positive solutions in the case of the nonlinearity with sign changing coefficient a(x). Surprisingly, we do not need a sign condition ∫RNa(x)e1pdx<0, which has been proven to be a necessary condition to the existence of positive solutions for semilinear elliptic equations with sign changing nonlinearity (Alama and Tarantello (1993) [1])." @default.
- W2035222798 created "2016-06-24" @default.
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- W2035222798 date "2014-07-01" @default.
- W2035222798 modified "2023-09-30" @default.
- W2035222798 title "Multiple positive solutions to a class of modified nonlinear Schrödinger equations" @default.
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- W2035222798 doi "https://doi.org/10.1016/j.jmaa.2014.01.067" @default.
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