Article ID Journal Published Year Pages File Type
844412 Nonlinear Analysis: Theory, Methods & Applications 2007 14 Pages PDF
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
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