涉及分数阶拉普拉斯算子的非线性椭圆问题解的渐近行为
偏微分方程分析
2014-04-03 v2
摘要
本文研究了涉及分数阶拉普拉斯算子和临界指数的非线性椭圆方程的最小能量解的渐近行为以及多重爆破解的存在性。这项工作可视为 Han (Ann. Inst. H. Poincare Anal. Non Lineaire, 1991) 和 Rey (J. Funct. Anal., 1990) 结果的非局部类比。
引用
@article{arxiv.1308.4026,
title = {Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian},
author = {Woocheol Choi and Seunghyeok Kim and Ki-Ahm Lee},
journal= {arXiv preprint arXiv:1308.4026},
year = {2014}
}
备注
Parts of Section 1, 3, 4 and 6 are revised, and typos are fixed. To appear in Journal of Functional Analysis