Search results for "Robin problem"

showing 2 items of 2 documents

Two Nontrivial Solutions for Robin Problems Driven by a p–Laplacian Operator

2020

By variational methods and critical point theorems, we show the existence of two nontrivial solutions for a nonlinear elliptic problem under Robin condition and when the nonlinearty satisfies the usual Ambrosetti-Rabinowitz condition.

Nonlinear systemPure mathematicsRobin problemSettore MAT/05 - Analisi Matematicap-LaplacianCritical point theoryMathematics::Analysis of PDEsp-LaplacianRobin problem p-Laplacian Critical point theoryCritical point (mathematics)Mathematics
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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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