Title of article :
On the existence of pair positive–negative solutions for resonance problems Original Research Article
Author/Authors :
Yavdat Il’yasov، نويسنده , , Thomas Runst، نويسنده , , Abdellah Youssfi، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Pages :
11
From page :
3461
To page :
3471
Abstract :
This paper deals with a class of semilinear elliptic Dirichlet boundary value problems at resonance. We introduce a sufficient Landesman–Lazer condition for the existence of pair positive–negative solutions. Furthermore, developing the fibering method in the framework of the Leray–Schauder degree theory we can prove the existence of branches for positive and negative solutions.
Keywords :
Leray–Schauder degree , Fibering method , Landesman–Lazer condition
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Serial Year :
2009
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Record number :
861048
Link To Document :
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