Nonpositone elliptic problems in ${\bf R}\sp n$

Autor: Allegretto, W., Odiobala, P. O.
Zdroj: Proceedings of the American Mathematical Society; 1995, Vol. 123 Issue: 2 p533-541, 9p
Abstrakt: We consider the problem of the existence of positive decaying solutions in $ {\mathbb{R}^n}$ $ lu = \lambda f(x,u)$l denotes a second-order uniformly elliptic operator and $ f(x,u)$ $ f(x,0) \leq 0$u in various Sobolev norms and by comparison with the case $ l = - \Delta $.
Databáze: Supplemental Index