کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616513 1339351 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and multiplicity of solutions for fourth-order elliptic equations in RNRN
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and multiplicity of solutions for fourth-order elliptic equations in RNRN
چکیده انگلیسی

In this paper, we study the fourth order elliptic equations Δ2u−Δu+λV(x)u=f(x,u)Δ2u−Δu+λV(x)u=f(x,u) in RNRN, u∈H2(RN)u∈H2(RN), where λ≥1λ≥1 and the nonlinearity ff is either superlinear or sublinear at infinity. We establish the existence and multiplicity results without the compactness of embedding of the working space, which unify and sharply improve the recent results of Liu, Chen and Wu [J. Liu, S. Chen, X. Wu, Existence and multiplicity of solutions for a class of fourth-order elliptic equations in RNRN, J. Math. Anal. Appl. 395 (2012) 608–615].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 335–351
نویسندگان
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