Title of article
The effect of domain shape on the number of positive and nodal solutions for semilinear elliptic equations Original Research Article
Author/Authors
Tsung-fang Wu، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
14
From page
2609
To page
2622
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.
Keywords
semilinear elliptic equations , Nodal solutions , positive solutions
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2007
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
859921
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