Solutions and positive solutions for superlinear Robin problems

Calogero Vetro; Francesca Vetro; Nikolaos S. Papageorgiou

Solutions and positive solutions for superlinear Robin problems

Calogero Vetro, Francesca Vetro, Nikolaos S. Papageorgiou

Matematica e Informatica

Risultato della ricerca: Article › peer review

Abstract

We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.

Lingua originale	English
pagine (da-a)	1-26
Numero di pagine	26
Rivista	Journal of Mathematical Physics
Volume	60
Stato di pubblicazione	Published - 2019

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Solutions and positive solutions for superlinear Robin problems",

abstract = "We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.",

author = "Calogero Vetro and Francesca Vetro and Papageorgiou, {Nikolaos S.}",

year = "2019",

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journal = "Journal of Mathematical Physics",

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TY - JOUR

T1 - Solutions and positive solutions for superlinear Robin problems

AU - Vetro, Calogero

AU - Vetro, Francesca

AU - Papageorgiou, Nikolaos S.

PY - 2019

Y1 - 2019

N2 - We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.

AB - We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.

UR - http://hdl.handle.net/10447/398448

UR - https://doi.org/10.1063/1.5118760

M3 - Article

VL - 60

SP - 1

EP - 26

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

ER -