Department of Mathematics, Northern Illinois University
DeKalb, IL 60115, USA
email: kong@math.niu.edu
Department of Mathematics, Northern Illinois University
DeKalb, IL 60115, USA
email: mwang@math.niu.edu
Qingkai Kong, Min Wang
Abstract:
In this article, we study a class of boundary value problems with
p-Laplacian. By using a Green-like functional and applying the fixed
point index theory, we obtain eigenvalue criteria for the existence of
positive solutions. Several explicit conditions are derived as consequences,
and further results are established for the multiplicity and nonexistence
of positive solutions. Extensions are also given to partial differential
BVPs with p-Laplacian defined on annular domains.
Submitted June 17, 2010. Published September 7, 2010.
Math Subject Classifications: 34B15, 34B18.
Key Words: Boundary value problem with p-Laplacian;
positive solution; existence and nonexistence;
eigenvalue criteria; fixed point; index theory.
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Qingkai Kong Department of Mathematics, Northern Illinois University DeKalb, IL 60115, USA email: kong@math.niu.edu |
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Min Wang Department of Mathematics, Northern Illinois University DeKalb, IL 60115, USA email: mwang@math.niu.edu |
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