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1. Least energy solutions of nonlinear Schrödinger equations involving the fractional Laplacian and potential wells

作者： MiaoMiao Niu ; ZhongWei Tang

关键词：nonlinear Schrödinger equation ; least energy solution ; fractional Laplacian ; variational methods

刊名：Science China Mathematics

出版年：2017

2. A radial symmetry and Liouville theorem for systems involving fractional Laplacian

作者： Dongsheng Li ; Zhenjie Li

关键词：Fractional Laplacian ; method of moving planes ; Kelvin transform ; Liouville theorem

刊名：Frontiers of Mathematics in China

出版年：2017

3. Positive solutions to boundary value problems of p-Laplacian with fractional derivative

作者： Xiaoyu Dong ; Zhanbing Bai ; Shuqin Zhang

关键词：conformable fractional derivative ; singular Green’s function ; fixed point theorems on conep ; Laplacian operator

刊名：Boundary Value Problems

出版年：2017

4. Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval

作者： Hui Zhou ; Liu Yang ; Praveen Agarwal

关键词：P ; Laplacian ; Coincidence degree ; Fractional differential equation ; Multipoint boundary conditions

刊名：Journal of Applied Mathematics and Computing

出版年：2017

5. Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian

作者： Luchao Zhang ; Weiguo Zhang ; Xiping Liu ; Mei Jia

关键词：fractional differential equations ; Caputo derivativep ; Laplacian operator ; integral boundary conditions ; positive solutions

刊名：Advances in Difference Equations

出版年：2017

6. Fractional p-Kirchhoff system with sign changing nonlinearities

作者： Pawan Kumar Mishra ; K. Sreenadh

关键词：Fractional p ; Laplacian system ; Kirchhoff type problem ; Critical exponent problem

刊名：Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

出版年：2017

7. Classification of finite energy solutions to the fractional Lane–Emden–Fowler equations with slightly subcritical exponents

作者： Woocheol Choi ; Seunghyeok Kim

关键词：Fractional Laplacian ; Critical nonlinearity ; Multi ; peak solutions ; Blow ; up analysis

刊名：Annali di Matematica Pura ed Applicata (1923 -)

出版年：2017

8. Existence and uniqueness for a class of multi-term fractional differential equations

作者： Qiuping Li ; Chuanxia Hou ; Liying Sun…

关键词：Fractional differential equation ; Initial value problem ; Existence ; Uniqueness ; Schauder fixed point theorem ; Banach contraction principle

刊名：Journal of Applied Mathematics and Computing

出版年：2017

9. On a semilinear mixed fractional heat equation driven by fractional Brownian sheet

作者： Dengfeng Xia ; Litan Yan

关键词：stochastic partial differential equations ; fractional Brownian sheet ; Hölder regularity ; density of the law ; Malliavin calculusp ; variation

刊名：Boundary Value Problems

出版年：2017

10. Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group

作者： Bekkar Meneceur ; Kamel Haouam ; Amar Debbouche

关键词：critical exponent ; fractional derivative ; Heisenberg group ; evolution inequalities ; test function method

刊名：Advances in Difference Equations

出版年：2017

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