6533b836fe1ef96bd12a149e

RESEARCH PRODUCT

Semilinear Robin problems driven by the Laplacian plus an indefinite potential

Calogero Vetro

subject

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 operatorAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2019-04-03Complex Variables and Elliptic Equations
https://doi.org/10.1080/17476933.2019.1597066