Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 271, Issue -, Pages 849-863Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2020.09.024
Keywords
Neumann problem; Quasilinear elliptic system; Gradient dependence; Singular term; Arbitrary growth
Categories
Funding
- Research project of MIUR (Italian Ministry of Education, University and Research) Prin 2017 'Nonlinear Differential Problems via Variational, Topological and Set-valued Methods' [2017AYM8XW]
Ask authors/readers for more resources
The study establishes an existence result for Neumann elliptic systems with singular, convective, sign-changing, arbitrarily growing reactions. The proofs are based on various techniques and theories, ultimately leading to the discovery of infinitely many solutions.
An existence result for Neumann elliptic systems with singular, convective, sign-changing, arbitrarily growing reactions is established. Proofs are chiefly based on sub-super-solution and truncation techniques, nonlinear regularity theory, and fixed point arguments. As a consequence, infinitely many solutions are obtained through appropriate sequences of sub-super-solution pairs. (C) 2020 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
