Entire solutions of sublinear elliptic equations in anisotropic media

We study the nonlinear elliptic problem $-\Delta u=\rho (x)f(u)$ in \RR^N ($N\geq 3$), \lim\_{|x|\ri\infty}u(x)=\ell, where $\ell\geq 0$ is a real number, $\rho(x)$ is a nonnegative potential belonging to a certain Kato class, and $f(u)$ has a sublinear growth. We distinguish the cases $\ell>0$ and $\ell=0$ and we prove existence and uniqueness results if the potential $\rho(x)$ decays fast enough at infinity. Our arguments rely on comparison techniques and on a theorem of Brezis and Oswald for sublinear elliptic equations

The logistics of merchandise

Customer service, The forecast of demand, Information management, Materials handling, Order processing