کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471389 698627 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth
چکیده انگلیسی

This paper is concerned with the following quasilinear Schrödinger equations: {−div(g2(u)∇u)+g(u)g′(u)|∇u|2+V(x)u=λf(x,u)+g(u)|G(u)|2∗−2G(u),x∈RN,u(x)>0,x∈RN, where N≥3N≥3, 2∗=2NN−2, G(u)=∫0ug(t)dt and λ>0λ>0 is a parameter. By using a change of variable, the quasilinear equation is reduced to a semilinear one, whose associated functional is well defined in H1(RN)H1(RN). We establish the existence of positive solutions for this problem by using the Mountain Pass Theorem in combination with the concentration-compactness principle under appropriate assumptions on V(x)V(x) and f(x,u)f(x,u). Recent results from the literature are improved and extended.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 3, February 2016, Pages 849–858
نویسندگان
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