Search results for "Semilinear Robin problem"

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Semilinear Robin problems driven by the Laplacian plus an indefinite potential

2019

We study a semilinear Robin problem driven by the Laplacian plus an indefinite potential. We consider the case where the reaction term f is a Carathéodory function exhibiting linear growth near ±∞. So, we establish the existence of at least two solutions, by using the Lyapunov-Schmidt reduction method together with variational tools.

Numerical AnalysisApplied Mathematics010102 general mathematicsFunction (mathematics)Mathematics::Spectral Theory01 natural sciencesTerm (time)010101 applied mathematicsComputational MathematicsSettore MAT/05 - Analisi MatematicaApplied mathematicsLyapunov-Schmidt reduction methodindefinite potential0101 mathematicsCarathéodory reactionLinear growthSemilinear Robin problemLaplace operatorAnalysisMathematicsComplex Variables and Elliptic Equations
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