一类非线性双调和方程在${{\mathbb{R}}^{N}}$上正整解存在的充分必要条件

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O175.25

Xiaohang Ou. Sufficient and Necessary Condition for the Existence of Positive Entire Solutions of a Nonlinear Biharmonic Equations on ${{\mathbb{R}}^{N}}$ [J].Acta mathematica scientia,Series A, 2019, 39(3): 535-544.

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	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

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Sufficient and Necessary Condition for the Existence of Positive Entire Solutions of a Nonlinear Biharmonic Equations on ${{\mathbb{R}}^{N}}$

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Sufficient and Necessary Condition for the Existence of Positive Entire Solutions of a Nonlinear Biharmonic Equations on RN{{\mathbb{R}}^{N}}

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Sufficient and Necessary Condition for the Existence of Positive Entire Solutions of a Nonlinear Biharmonic Equations on ${{\mathbb{R}}^{N}}$