کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773967 | 1413538 | 2017 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in R2
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in R2 Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in R2](/preview/png/5773967.png)
چکیده انگلیسی
Conventionally, the existence and orbital stability of ground states of nonlinear Schrödinger (NLS) equations with power-law nonlinearity (subcritical case) can be proved by an argument using strict subadditivity of the ground state energy and the concentration compactness method of Cazenave and Lions [4]. However, for saturable nonlinearity, such an argument is not applicable because strict subadditivity of the ground state energy fails in this case. Here we use a convexity argument to prove the existence and orbital stability of ground states of NLS equations with saturable nonlinearity and intensity functions in R2. Besides, we derive the energy estimate of ground states of saturable NLS equations with intensity functions using the eigenvalue estimate of saturable NLS equations without intensity function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 8, 15 October 2017, Pages 4750-4786
Journal: Journal of Differential Equations - Volume 263, Issue 8, 15 October 2017, Pages 4750-4786
نویسندگان
Tai-Chia Lin, Xiaoming Wang, Zhi-Qiang Wang,