کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904407 1633702 2018 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multiplicity and concentration behaviour of positive solutions for Schrödinger-Kirchhoff type equations involving the p-Laplacian in RN
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Multiplicity and concentration behaviour of positive solutions for Schrödinger-Kirchhoff type equations involving the p-Laplacian in 
		RN
چکیده انگلیسی
In this article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrödinger-Kirchhoff type -∈pM(∈p-N∫RN|∇u|p)Δpu+V(x)|u|p-2u=f(u)in RN, where Δp is the p-Laplacian operator, 1 < p < N, M: R+→R+ and V: RN→R+ are continuous functions, ε is a positive parameter, and f is a continuous function with subcritical growth. We assume that V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational methods, penalization techniques, and Lyusternik-Schnirelmann theory, we prove the existence, multiplicity, and concentration of solutions for the above equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 38, Issue 2, March 2018, Pages 391-418
نویسندگان
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