Existence of positive solutions for nonlinear Robin problems with gradient dependence

Nikolaos S. Papageorgiou; Chao Zhang

doi:10.5186/AASFM.2019.4437

Existence of positive solutions for nonlinear Robin problems with gradient dependence

Nikolaos S. Papageorgiou
, Chao Zhang^*

^*Corresponding author for this work

School of Mathematics

National Technical University of Athens

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We consider a nonlinear Robin problem driven by the p-Laplace differential operator and with a reaction term which depends also on the gradient (convection). Using a topological approach based on the Leray-Schauder alternative principle, we show that the problem has a positive smooth solution.

Original language	English
Pages (from-to)	739-753
Number of pages	15
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	44
Issue number	2
DOIs	https://doi.org/10.5186/AASFM.2019.4437
State	Published - 2019

Keywords

Convection
Leray-Schauder alternative principle
Minimal positive solution
Nonlinear maximum principle
Nonlinear regularity

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10.5186/AASFM.2019.4437

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title = "Existence of positive solutions for nonlinear Robin problems with gradient dependence",

abstract = "We consider a nonlinear Robin problem driven by the p-Laplace differential operator and with a reaction term which depends also on the gradient (convection). Using a topological approach based on the Leray-Schauder alternative principle, we show that the problem has a positive smooth solution.",

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AU - Zhang, Chao

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KW - Convection

KW - Leray-Schauder alternative principle

KW - Minimal positive solution

KW - Nonlinear maximum principle

KW - Nonlinear regularity

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M3 - 文章

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SN - 1239-629X

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JF - Annales Academiae Scientiarum Fennicae Mathematica

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ER -

Existence of positive solutions for nonlinear Robin problems with gradient dependence

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Keywords

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