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AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR
Published online by Cambridge University Press: 01 July 2004
Abstract
In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with an operator that is not necessarily bounded. For that, we use the bifurcation theory and obtain the existence of positive solutions for a range of values of the bifurcation parameter.
AMS 2000 Mathematics subject classification: Primary 35J60; 35J25. Secondary 35D05
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- Research Article
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- Copyright © Edinburgh Mathematical Society 2004
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