Article ID Journal Published Year Pages File Type
4620583 Journal of Mathematical Analysis and Applications 2008 11 Pages PDF
Abstract

In this paper, we study the effect of the graph of weight functions on the number of 2-nodal solutions for semilinear elliptic problems in RN. Our results generalize and improve on the results of [D. Cao, E.S. Noussair, Multiplicity of positive and nodal solutions for nonlinear elliptic problems in RN, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (5) (1996) 567–588]. In the present paper, we give a new analytical method to study this issue.

Related Topics
Physical Sciences and Engineering Mathematics Analysis