Nodal Domains for the p-Laplacian
نویسندگان
چکیده
In this paper we consider the eigenvalue problem − pu = λ(m)|u|p−2u, u ∈ W 1,p 0 ( ) where p > 1, p is the p-Laplacian operator, λ > 0, is a bounded domain in R(N ≥ 1) and m is a given positive function in L( ) (r depending on p and N ). We prove that the second positive eigenvalue admits exactly two nodal domains. AMS subject classification: 35J20, 35J70, 35P05, 35P30.
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