Multiple nontrivial solutions of Neumann $p$-Laplacian systems
نویسندگان
چکیده
منابع مشابه
Nontrivial solutions for p-Laplacian systems
The paper deals with the existence and nonexistence of nontrivial nonnegative solutions for the sublinear quasilinear system div (|∇ui |p−2∇ui)+ λfi(u1, . . . , un)= 0 in Ω, ui = 0 on ∂Ω, i = 1, . . . , n, where p > 1, Ω is a bounded domain in RN (N 2) with smooth boundary, and fi , i = 1, . . . , n, are continuous, nonnegative functions. Let u = (u1, . . . , un), ‖u‖ = ∑n i=1 |ui |, we prove t...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2009
ISSN: 1230-3429
DOI: 10.12775/tmna.2009.028