1 |
Kusano T , Swanson C A . Positive entire solutions of semilinear biharmonic equations. Hiroshima Math J, 1987, 17: 13- 28
doi: 10.32917/hmj/1206130185
|
2 |
文如庆, 陈世明. 一类半线性双调和方程的正整解. 应用数学, 1994, 7 (1): 85- 92
|
|
Wen R Q , Chen S M . The positive entire solutions for a class of semlinear biharmonic equations. Mathematica Applica, 1994, 7 (1): 85- 92
|
3 |
许兴业. 关于${{\mathbb{R}}^{N}}$中奇异非线性双调和方程正整解的存在性. 南京大学学报数学半年刊, 1998, 15 (1): 99- 105
|
|
Xu X Y . The existence of positive entire solutions about singular nonlinear biharmonic equations on ${{\mathbb{R}}^{N}}$. Journal of Nanjing University Mathematical Biquarterly, 1998, 15 (1): 99- 105
|
4 |
许兴业. ${{\mathbb{R}}^{N}}$上带奇异性的非线性双调和方程的正整解. 数学物理学报, 2009, 29 (1): 87- 93
|
|
Xu X Y . The positive entire solutions for a class of nonlinear biharmonic equations with singular on ${{\mathbb{R}}^{N}}$. Acta Mathematica Scientia, 2009, 29 (1): 87- 93
|
5 |
叶长青. 一类${{\mathbb{R}}^{N}}$(N ≥ 3)上奇异非线性双调和方程正整解. 系统科学与数学, 2007, 27 (6): 892- 898
doi: 10.3969/j.issn.1000-0577.2007.06.010
|
|
Ye C Q . Positive entire solutions for a class of singular nonlinear biharmonic equations on ${{\mathbb{R}}^{N}}$(N ≥ 3). Journal of System Science and Mathematical Sciences, 2007, 27 (6): 892- 898
doi: 10.3969/j.issn.1000-0577.2007.06.010
|
6 |
叶长青. 奇异非线性双调和方程存在正整解的充分必要条件. 闽南师范大学学报(自然科学版), 2016, (1): 6- 13
doi: 10.3969/j.issn.1008-7826.2016.01.002
|
|
Ye C Q . Existence and necessary for the existence of positive entire solutions for a class singular nonlinear biharmonic equations. Journal of Minnan University (Nat Sci), 2016, (1): 6- 13
doi: 10.3969/j.issn.1008-7826.2016.01.002
|
7 |
欧笑杭. 关于非线性方程$div(|Du|^{p-2}Du)=f(|x|, u, |\nabla u|)$的正整解. 广东第二师范学院学报, 2017, 37 (3): 54- 58
doi: 10.3969/j.issn.2095-3798.2017.03.007
|
|
Ou X H . The positiver entire solutions to the nonlinear equations such as $div(|Du|^{p-2}Du)=f(|x|, u, |\nabla u|)$. Journal of Guangdong University of Education, 2017, 37 (3): 54- 58
doi: 10.3969/j.issn.2095-3798.2017.03.007
|
8 |
Adams R A . Sobolev Spaces. New York: Academic Press, 1975
|
9 |
Edwards R E . Functional Analysis. New York: Holt Rinehart and Winston, 1965
|