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.

Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions

Guarnotta U.;Marano S. A.
2021-01-01

Abstract

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.
2021
Arbitrary growth
Gradient dependence
Neumann problem
Quasilinear elliptic system
Singular term
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/491506
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