湖南大学计算机房工训,房艳芹-优快云博客

本文集中探讨了分数阶拉普拉斯算子在半空间中的解的正则性和不存在性问题，涉及一系列相关方程和不等式。作者通过深入研究，展示了在不同场景下解的性质，并提供了多项式高次或分数阶Hardy-Sobolev型方程的解的存在性和多重性定理。此外，还讨论了Navier边值问题的超多级谐性质。

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1. De Tang, Yanqin Fang, Regularity and nonexistence of solutions for a system involving the fractional Laplacian in a half space, To appear in Communications on Pure and Applied Analysis.

2. Wenxiong Chen, Yanqin Fang, Ray Yang, Liouville theorems involving the fractional Laplacian on a half space, Advances in Mathematics, 274 (2015) 167-198.

3. Wenxiong Chen, Yanqin Fang, Higher order or fractional order Hardy-Sobolev

type equations, Bulletin of the Institute of Mathematics

Academia Sinica (New Series), 9 (2014), No. 3, 317-349.

4. Wenxiong Chen, Yanqin Fang, Congming Li, Super poly-harmonic property of solutions for Navier boundary problems on a half space, J. Funct. Anal, 265 (2013), No. 8, 1522-1555.

5. Yanqin Fang, Jihui Zhang, Nonexistence of positive solutions for an

integral equation on half-space , Communications

on Pure and Applied Analysis, 2, (2013) 663-678.

6. Yanqin Fang, Wenxiong Chen , A Liouville Type Theorem for Poly-harmonic Dirichlet

Problems in a Half Space, Advances in Mathematics, 229,

(2012) 2835-2867.

7. Yanqin Fang, Jihui Zhang, Multiplicity of solutions for the nonlinear

Schrodinger-Maxwell system, Communications On Pure and Applied

Analysis, 10 (2011) 1267-1279.

8. Yanqin Fang, Jihui Zhang, Multiplicity of solutions for elliptic system

involving supercritical Sobolev exponent, Acta Applicandae Mathematicae, 115 (2011) 255-264.

9. Yanqin Fang, Jihui Zhang, Multipliciyt of solutions for a class of elliptic systems