Some recent results for fractional Schrodinger-Poisson systems and Choquard equations

摘要:We considered several classes of fractional Schrodinger-Poisson systems and Choquard equations with critical growth. By using variational methods，the existence, multiplicity and concentration of the ground state, bound state solutions are obtained.

报告人简介：贺小明，中央民族大学理学院教授、研究生导师，美国数学评论评论员，德国数学文摘评论员，中央民族大学应用数学研究所所长。近年来，在非局部椭圆型微分方程解的存在性，多解性，集中性以及规范化解的存在性等方面取得了若干研究成果。已在国内外数学期刊，如Bull. Math. Sci, Manuscript.Math. , Calc. Var. PDE , J. Geometric Analysis , J. Differential Equations , Ann. Mat. Pura Appl., Nonlinearity, Science China-Mathematics等期刊上发表多篇科研论文，被他人SCI引用1800多次。主持和参与多项国家自然科学基金项目。

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