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- W2005025411 abstract "We study the nonlinear problem − Δ u + V ( x ) = f ( x , u ) , x ∈ R N , lim | x | → ∞ u ( x ) = 0 , where the Schrödinger operator − Δ + V is semibounded and the nonlinearity f is linearly bounded. We establish compactness of Palais–Smale sequences and Cerami sequences for the associated energy functional under general spectral-theoretic assumptions. Applying these results, we obtain existence of three nontrivial solutions if the energy functional has a mountain-pass geometry." @default.
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- W2005025411 date "2006-12-01" @default.
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- W2005025411 title "Compactness results for Schrödinger equations with asymptotically linear terms" @default.
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- W2005025411 doi "https://doi.org/10.1016/j.jde.2006.05.007" @default.
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