کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4613433 | 1338747 | 2006 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms](/preview/png/4613433.png)
چکیده انگلیسی
Based on new information concerning strongly indefinite functionals without Palais–Smale conditions, we study existence and multiplicity of solutions of the Schrödinger equation-Δu+V(x)u=g(x,u)forx∈RN,u(x)→0as|x|→∞,where VV and gg are periodic with respect to xx and 00 lies in a gap of σ(-Δ+V)σ(-Δ+V). Supposing gg is asymptotically linear as |u|→∞|u|→∞ and symmetric in uu, we obtain infinitely many geometrically distinct solutions. We also consider the situation where gg is super linear with mild assumptions different from those studied previously, and establish the existence and multiplicity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 222, Issue 1, 1 March 2006, Pages 137–163
Journal: Journal of Differential Equations - Volume 222, Issue 1, 1 March 2006, Pages 137–163
نویسندگان
Yanheng Ding, Cheng Lee,