Semilinear Robin problems driven by the Laplacian plus an indefinite potential

Calogero Vetro

Semilinear Robin problems driven by the Laplacian plus an indefinite potential

Calogero Vetro

Matematica e Informatica

Risultato della ricerca: Article › peer review

7 Citazioni (Scopus)

Abstract

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.

Lingua originale	English
pagine (da-a)	573-587
Numero di pagine	15
Rivista	Complex Variables and Elliptic Equations
Volume	65
Stato di pubblicazione	Published - 2020

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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title = "Semilinear Robin problems driven by the Laplacian plus an indefinite potential",

abstract = "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 Carath{\'e}odory 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.",

author = "Calogero Vetro",

year = "2020",

language = "English",

volume = "65",

pages = "573--587",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

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T1 - Semilinear Robin problems driven by the Laplacian plus an indefinite potential

AU - Vetro, Calogero

PY - 2020

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N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/400246

UR - https://www.tandfonline.com/doi/full/10.1080/17476933.2019.1597066

M3 - Article

VL - 65

SP - 573

EP - 587

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

SN - 1747-6933

ER -