TY - JOUR
T1 - CONCAVITY PROPERTIES FOR QUASILINEAR EQUATIONS AND OPTIMALITY REMARKS
AU - Almousa, Nouf
AU - Assettini, Jacopo
AU - Gallo, Marco
AU - Squassina, Marco
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - concavity
KW - elliptic
KW - problems
KW - concavity
KW - elliptic
KW - problems
UR - https://publicatt.unicatt.it/handle/10807/269634
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85168128659&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85168128659&origin=inward
U2 - 10.57262/die037-0102-1
DO - 10.57262/die037-0102-1
M3 - Article
SN - 0893-4983
VL - 37
SP - 1
EP - 26
JO - Differential and Integral Equations
JF - Differential and Integral Equations
IS - 1-2
ER -