Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844412 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 14 Pages |
Abstract
In this paper, we study the effect of domain shape on the number of positive and nodal (sign-changing) solutions for a class of semilinear elliptic equations. We prove a semilinear elliptic equation in a domain ΩΩ that contains mm disjoint large enough balls has m2m2 2-nodal solutions and mm positive solutions.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Tsung-fang Wu,