Positive solutions of an elliptic Neumann problem with a sublinear indefinite nonlinearity
نویسندگان
چکیده
منابع مشابه
Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity
We show that the critical nonlinear elliptic Neumann problem ∆u− μu+ u = 0 in Ω, u > 0 in Ω and ∂u ∂ν = 0 on ∂Ω where Ω is a bounded and smooth domain in R, has arbitrarily many solutions, provided that μ > 0 is small enough. More precisely, for any positive integer K, there exists μK > 0 such that for 0 < μ < μK , the above problem has a nontrivial solution which blows up at K interior points ...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2018
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-018-0502-1