一类区域分数阶Schr&#246;dinger方程的基态解

王德菊,唐春雷,吴行平

doi:10.13718/j.cnki.xsxb.2018.06.005

西南师范大学学报(自然科学版)

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一类区域分数阶Schrödinger方程的基态解

王德菊,唐春雷,吴行平. 一类区域分数阶Schrödinger方程的基态解[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 21-26. doi: 10.13718/j.cnki.xsxb.2018.06.005

引用本文:

王德菊,唐春雷,吴行平. 一类区域分数阶Schrödinger方程的基态解[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 21-26. doi: 10.13718/j.cnki.xsxb.2018.06.005

WANG De-ju, TANG Chun-lei, WU Xing-ping. Ground State Solutions for a Regional Fractional Schrodinger Equation[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 21-26. doi: 10.13718/j.cnki.xsxb.2018.06.005

Citation:

WANG De-ju, TANG Chun-lei, WU Xing-ping. Ground State Solutions for a Regional Fractional Schrodinger Equation[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 21-26. doi: 10.13718/j.cnki.xsxb.2018.06.005

一类区域分数阶Schrödinger方程的基态解

王德菊,唐春雷,吴行平

西南大学数学与统计学院, 重庆 400715

Ground State Solutions for a Regional Fractional Schrodinger Equation

WANG De-ju, TANG Chun-lei, WU Xing-ping

School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

摘要: 用变分方法研究了区域分数阶Schrödinger方程（-Δ）ραu+V（x）u=f（x，u） x∈RN，u∈Hα（RN）获得了该方程基态解的存在性.
- 变分方法 /
- 山路定理 /
- 基态解
Abstract: In this article, the existence of nontrivial ground state solution for a time-independent regional fractional schrodinger equation(-Δ)ραu+V(x)u=f(x,u) x∈RN,u∈Hα(RN)has been obtained by using the variational method.
- variational method /
- mountain pass theorem /
- ground state solution .

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