TY - JOUR
T1 - CONCAVITY PROPERTIES FOR QUASILINEAR EQUATIONS AND OPTIMALITY REMARKS
AU - Almousa, Nouf M.
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, elliptic, problems
KW - concavity, elliptic, problems
UR - http://hdl.handle.net/10807/269634
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
ER -