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含Hénon临界指数的半线性椭圆边值问题解的存在性

Existence of Solutions for Semilinear Elliptic Boundary Value Problems with Critical Hénon Exponent
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摘要 讨论一类具有Hénon临界指数的半线性椭圆边值问题,用变分法和一些分析技巧证明了在适当条件下方程解的存在性结果. In this paper,a class of semilinear elliptic boundary value problems with critical Hénon exponent has been studied.Existence of solutions has been studied by variational methods and some analysis techniques under certain appropriate conditions.
出处 《西南师范大学学报(自然科学版)》 CAS 北大核心 2017年第11期9-14,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 重庆市教委科研基金项目(KJ130503) 国家自然科学基金面上项目(11471235)
关键词 正解 Hénon临界指数 变分法 positive solut ions c r i t ic al Henon e xp o n e n t va r ia t io n a l methods
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