کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900312 1631560 2018 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and multiplicity of solutions for critical Kirchhoff-type p-Laplacian problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and multiplicity of solutions for critical Kirchhoff-type p-Laplacian problems
چکیده انگلیسی
In this paper, we deal with the existence, multiplicity and asymptotic behavior of solutions for the following stationary Kirchhoff problems involving the p-Laplacian:−M(∫Ω|∇u|pdx)Δpu=λf(x,u)+|u|p⁎−2uinΩ,u=0 on∂Ω, where Ω is a bounded smooth domain of RN, M:R0+→R0+ is a continuous function satisfying some extra assumptions. By using the mountain pass theorem, the existence of solutions is obtained. By applying an abstract critical point theorem based on the cohomological index, we prove the existence of multiple solutions for the above problem, when parameter λ belongs to some left neighborhood of the eigenvalue of the nonlinear operator −‖∇u‖(θ−1)pΔp, where p
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 458, Issue 1, 1 February 2018, Pages 361-378
نویسندگان
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