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non-bounded quasilinear operator

Proceedings of the Edinburgh Mathematical Society (1)

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AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR
José Carmona, Antonio Suárez
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 47 / Issue 2 / June 2004

Published online by Cambridge University Press:

01 July 2004, pp. 353-363
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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