AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR

[摘要] 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

[学科分类] 数学（综合）

[关键词] bifurcation;positive solutions;non-bounded quasilinear operator;eigenvalue problems