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- W4386906603 abstract "In this paper, we study quasiconcavity properties of solutions of Dirichlet problems related to modified nonlinear Schrödinger equations of the type $$ -{rm div}big(a(u) nabla ubig) + frac{a'(u)}{2} |nabla u|^2 = f(u) quad hbox{in $Omega$}, $$ where $Omega$ is a convex bounded domain of $mathbb{R}^N$. In particular, we search for a function $varphi:mathbb{R} to mathbb{R}$, modeled on $fin C^1$ and $ain C^1$, which makes $varphi(u)$ concave. Moreover, we discuss the optimality of the conditions assumed on the source." @default.
- W4386906603 created "2023-09-21" @default.
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- W4386906603 date "2024-01-01" @default.
- W4386906603 modified "2023-09-27" @default.
- W4386906603 title "Concavity properties for quasilinear equations and optimality remarks" @default.
- W4386906603 doi "https://doi.org/10.57262/die037-0102-1" @default.
- W4386906603 hasPublicationYear "2024" @default.
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