Positive Solutions of Quasilinear Elliptic Equations

نویسندگان

  • Yisheng Huang
  • Y. S. Huang
چکیده

(1.2) { −∆pu = λa(x)|u|p−2u, u ∈ D 0 (Ω), has the least eigenvalue λ1 > 0 with a positive eigenfunction e1 and λ1 is the only eigenvalue having this property (cf. Proposition 3.1). This gives us a possibility to study the existence of an unbounded branch of positive solutions bifurcating from (λ1, 0). When Ω is bounded, the result is well-known, we refer to the survey article of Amann [2] and the paper of Ambrosetti and Hess [4] for the case p = 2,

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تاریخ انتشار 2008