In this paper, we study quasiconcavity properties of solutions of Dirichlet problems related to modified nonlinear Schrödinger equations of the type Formula Presented), where Ω is a convex bounded domain of RN. In particular, we search for a function φ : R → R, modeled on f ∈ C1 and a ∈ C1, which makes φ(u) concave. Moreover, we discuss the optimality of the conditions assumed on the source.

Almousa, N., Assettini, J., Gallo, M., Squassina, M., CONCAVITY PROPERTIES FOR QUASILINEAR EQUATIONS AND OPTIMALITY REMARKS, <<DIFFERENTIAL AND INTEGRAL EQUATIONS>>, 2024; 37 (1-2): 1-26. [doi:10.57262/die037-0102-1] [https://hdl.handle.net/10807/269634]

CONCAVITY PROPERTIES FOR QUASILINEAR EQUATIONS AND OPTIMALITY REMARKS

Gallo, Marco;Squassina, Marco
2024

Abstract

In this paper, we study quasiconcavity properties of solutions of Dirichlet problems related to modified nonlinear Schrödinger equations of the type Formula Presented), where Ω is a convex bounded domain of RN. In particular, we search for a function φ : R → R, modeled on f ∈ C1 and a ∈ C1, which makes φ(u) concave. Moreover, we discuss the optimality of the conditions assumed on the source.
2024
Inglese
Almousa, N., Assettini, J., Gallo, M., Squassina, M., CONCAVITY PROPERTIES FOR QUASILINEAR EQUATIONS AND OPTIMALITY REMARKS, <<DIFFERENTIAL AND INTEGRAL EQUATIONS>>, 2024; 37 (1-2): 1-26. [doi:10.57262/die037-0102-1] [https://hdl.handle.net/10807/269634]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/269634
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