کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841130 908501 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Fu c ˘ ik spectrum for the pp-Laplacian with Robin boundary condition
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On the Fu c ˘ ik spectrum for the pp-Laplacian with Robin boundary condition
چکیده انگلیسی

The aim of this paper is to study the Fuc˘ik spectrum of the pp-Laplacian with Robin boundary condition given by −Δpu=a(u+)p−1−b(u−)p−1in Ω,|∇u|p−2∂u∂ν=−β|u|p−2uon ∂Ω, where β≥0β≥0. If β=0β=0, it reduces to the Fuc˘ik spectrum of the negative Neumannpp-Laplacian. The existence of a first nontrivial curve CC of this spectrum is shown and we prove some properties of this curve, e.g., CC is Lipschitz continuous, decreasing and has a certain asymptotic behavior. A variational characterization of the second eigenvalue λ2λ2 of the Robin eigenvalue problem involving the pp-Laplacian is also obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 14, October 2011, Pages 4671–4681
نویسندگان
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