On positive mountain pass solutions for a semilinear elliptic boundary value problem
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摘要
In this paper by using the Mountain Pass Lemma we study the existence of positive solutions for the equation −Δu = −λu + u∣u∣p−2 for x ∈ Ω together with Dirichlet boundary conditions, and show that for every λ > 0 the equation has a positive solution.
论文关键词：Mountain Pass Lemma,Positive solutions,Dirichlet boundary conditions
论文评审过程：Available online 3 September 2004.
论文官网地址：https://doi.org/10.1016/j.amc.2004.06.105
