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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth Generalized quasilinear asymptotically periodic Schrödinger equations with critical growth](/preview/png/471389.png)
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
Journal: Computers & Mathematics with Applications - Volume 71, Issue 3, February 2016, Pages 849–858
نویسندگان
Hongxia Shi, Haibo Chen,