Positive solutions for nonlinear Robin problems with convection

Authors

  • Leszek Gasiński University of Applied Sciences in Tarnow, Faculty of Mathematics and Natural Sicences, Poland https://orcid.org/0000-0001-8692-6442
  • Nikolaos S. Papageorgiou National Technical University, Department of Mathematics, Athens, Greece

DOI:

https://doi.org/10.5604/01.3001.0015.2690

Keywords:

convection, pseudomonotone operator, strong comparison principle, nonlinear regularity

Abstract

We consider a Robin problem driven by the p-Laplacian and with a reaction which is gradient dependent (convection). Using truncations and perturbations, we show that the problem has at least one positive smooth solution.

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Published

2021-09-13

How to Cite

Gasiński, L., & Papageorgiou, N. (2021). Positive solutions for nonlinear Robin problems with convection. Science, Technology and Innovation, 12(1), 26–36. https://doi.org/10.5604/01.3001.0015.2690

Issue

Vol. 12 No. 1 (2021)

Section

Original articles

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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