Existence of Multiple Positive Solutions of Quasilinear Elliptic Problems in R

نویسنده

  • G. A. Afrouzi
چکیده

This paper concerns quasilinear elliptic equations of the form −div(|∇u|p−2∇u) = λa(x)u(x)|u|p−2(1− |u|γ) in R with p > 1 and a(x) changes sign. We discuss the question of existence and multiplicity of solutions when a(x) has some specific properties. AMS subject classification: 35J70, 35B32, 35B40.

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تاریخ انتشار 2007