Positive solutions for nonvariational Robin problems

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

We study a nonlinear Robin problem driven by the ▫$p$▫-Laplacian and with a reaction term depending on the gradient (convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.

• Language: English
• Keywords: gradient dependence, pseudomonotone operator, nonlinear regularity, positive solution, nonlinear Picone's identity
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 243-255
• Numbering: Vol. 108, no. 4
• PID: 20.500.12556/RUL-109202
• UDC: 517.956
• ISSN on article: 0921-7134
• DOI: 10.3233/ASY-181464
• COBISS.SI-ID: 18396249
• Publication date in RUL: 27.08.2019

Record is a part of a journal

• Title: Asymptotic analysis
• Shortened title: Asymptot. anal.
• Publisher: IOS Press
• ISSN: 0921-7134
• COBISS.SI-ID: 25030144