Author:
Naito Manabu,Yoshida Norio
Abstract
SynopsisThe semilinear elliptic differential operator L[u] = Δu + c(x, u) is studied and sufficient conditions are derived for all solutions of uL[u] ≦ 0 with suitable boundary conditions to be oscillatory in unbounded domains of Rn. Here, unbounded domains to be considered are cones, strips and cylinders in Rn. The results are based on the conditions for the non-existence of positive solutions of ordinary differential inequalities.
Publisher
Cambridge University Press (CUP)
Reference24 articles.
1. On second order nonlinear oscillation;Wong;Funkcial. Ekvac.,1969
2. 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
3. Oscillation theorems for vector differential equations;Noussair;Utilitas Math.,1972
4. Comparison and oscillation theorems for matrix differential inequalities;Noussair;Trans. Amer. Math. Soc.,1971
5. Oscillation theory of elliptic equations of order 2m
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献