Options
On Bounded Positive Solutions of Semilinear Schrödinger Equations
Constantin, Adrian
1995
Abstract
L'equazione semilineare di Schr$\ddot{\textrm{o}}$dinger $\Delta u+f\left(x,u\right)=0$
viene considerata in un dominio esterno di $R^{n},n\geq3$. Vengono
date condizioni su n sufficienti affinchè l'equazioni abbia soluzioni
positive u(x) con $u\left(x\right)\rightarrow0$ quando $\mid x\mid\longrightarrow\infty$.
The semilinear Schr$\ddot{\textrm{o}}$dinger equation $\Delta u+f\left(x,u\right)=0$
is considered in an exterior domain of $R^{n},n\geq3$. Conditions
on f are given which are sufficient for the equation to have positive
solutions u(x) with $u\left(x\right)\rightarrow0$ as $\mid x\mid\longrightarrow\infty$.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
27 (1995)
Subjects
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Adrian Constantin, "On Bounded Positive Solutions of Semilinear Schrödinger Equations”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 27 (1995), pp. 79-83.
Languages
en
File(s)