Positive solutions for nonlinear Robin problems with convection

Diego Averna; Elisabetta Tornatore; Nikolaos S. Papageorgiou

Positive solutions for nonlinear Robin problems with convection

Diego Averna, Elisabetta Tornatore, Nikolaos S. Papageorgiou

Matematica e Informatica

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

Abstract

We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.

Lingua originale	English
pagine (da-a)	1907-1920
Numero di pagine	14
Rivista	Mathematical Methods in the Applied Sciences
Volume	42
Stato di pubblicazione	Published - 2019

All Science Journal Classification (ASJC) codes

Mathematics(all)
Engineering(all)

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title = "Positive solutions for nonlinear Robin problems with convection",

abstract = "We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.",

author = "Diego Averna and Elisabetta Tornatore and Papageorgiou, {Nikolaos S.}",

year = "2019",

language = "English",

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TY - JOUR

T1 - Positive solutions for nonlinear Robin problems with convection

AU - Averna, Diego

AU - Tornatore, Elisabetta

AU - Papageorgiou, Nikolaos S.

PY - 2019

Y1 - 2019

N2 - We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.

AB - We consider a nonlinear Robin problem driven by the p-Laplacian and with a convection term f(z,x,y). Without imposing any global growth condition on f(z,·,·) and using topological methods (the Leray-Schauder alternative principle), we show the existence of a positive smooth solution.

UR - http://hdl.handle.net/10447/351046

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476

M3 - Article

VL - 42

SP - 1907

EP - 1920

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

ER -