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一类具奇异项和梯度项的拟线性椭圆方程正解的不存在性 被引量：1

Nonexistence of Solutions of a Class of Quasilinear Elliptic Equations with Singular and Gradient Terms
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摘要 借助p-Laplace算子在加权函数下的第一特征值和一个常微分方程不等式,得到了一类具奇异项和梯度项的拟线性椭圆方程有限能量解的不存在性. The nonexistence of finite energy solutions to quasilinear elliptic equations with singular and gradient terms was proved via the first eigenvalue of p-Laplacian equations involving weight functions and the inequality for ODE.
作者 景元萍 郭斌 张永胜
机构地区 洛阳理工学院数理部 吉林大学数学研究所
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第5期969-971,共3页 Journal of Jilin University:Science Edition
基金 河南省自然科学基金(批准号:072300410180) 河南省创新型科技人才队伍建设工程项目(批准号:104100510018)
关键词 拟线性椭圆方程 奇异项 有限能量解 quasilinear elliptic equation singularity term finite energy solution
分类号 O175.25 [理学—数学]
  • 相关文献

参考文献8

  • 1Bensoussan A, Boccardo L, Murat F. On a Nonlinear Partial Differential Equation Having Natural Growth Terms and Unbounded Solution [ J]. Ann Inst H Poincare Anal Nonlineaire, 1988, 5 (4) : 347-364. 被引量：1
  • 2Boccardo L, Gallouet T. Strongly Nonlinear Elliptic Equations Having Natural Growth Terms and L1 Data [ J ]. Nonlinear Anal: Theory, Methods & Applications, 1992, 19(6) : 573-579. 被引量：1
  • 3Arcoya D, Baffle S, Martinez-Aparicio P J. Singular Quasilinear Equations with Quadratic Growth in the Gradient without Sign Condition [J]. J Math Anal Appl, 2009, 350( 1 ): 401-408. 被引量：1
  • 4Arcoya D, Martinez-Aparicio P J. Quasilinear Equations with Natural Growth [ J ]. Rev Mat Iberoamericana, 2008, 24(2) : 597-616. 被引量：1
  • 5Arcoya D, Carmona J, Leonori T. Existence and Nonexistence of Solutions for Singular Quadratic Quasilinear Equations [J]. J Differential Equations, 2009, 246(10) : 4006-4042. 被引量：1
  • 6袁洪君,陈明涛.一类具有退化性和奇异性的拟线性椭圆方程正解的注记[J].吉林大学学报（理学版）,2005,43(6):741-745. 被引量：1
  • 7魏晓丹.一类非线性奇异椭圆方程解的存在性和多重性[J].吉林大学学报（理学版）,2008,46(4):653-654. 被引量：1
  • 8Arcoya D, Ruiz D. The Ambrosetti-Prodi Problem for the p-Laplace Operator [ J ]. Commu Partial Diff Equa, 2006, 31 (6) : 849-865. 被引量：1

二级参考文献17

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同被引文献8

  • 1Bensoussan A, Boccardo L, Murat F. On a Nonlinear Partial Differential Equation Having Natural Growth Terms and Unbounded Solution[J]. Ann Inst H Poincare Anal Non Lineairc , 1988, 5(4): 347-364. 被引量：1
  • 2Boccardo L, Gallouet T. Strongly Nonlinear Elliptic Equations Having Natural Growth Terms and L' Data[J]. Nonlinear Anal: Theory, Methods & Applications, 1992, 19(6): 573-579. 被引量：1
  • 3Arcoya D, Barile S, Mart inez-Apar icio PJ. Singular Quasilinear Equations with Quadratic Growth in the Gradient without Sign Condition[J].J Math Anal Appl , 2009, 350(1): 401-408. 被引量：1
  • 4Arcoya D, TapiaJ C, Martinez-Aparicio P 1. Elliptic Obstacle Problems with Natural Growth on the Gradient and Singular Nonlinear Terms[J]. Adv Nonlinear Stud, 2007, 7(2): 299-317. 被引量：1
  • 5Arcoya D, Martinez-Aparicio PJ. Quasilinear Equations with Natural Growth[J]. Rev Mat Iberoarnericana , 2008, 24(2): 597-616. 被引量：1
  • 6Figueiredo D G, de. Positive Solutions of Semilinear Elliptic Problems[M]/ /Differential Equations. Lecture Notes in Math, Vol. 957. Berlin: Springer-Verlag, 1981: 34-87. 被引量：1
  • 7Arcoya D, CarmonaJ, Leonori T, et al. Existence and Nonexistence of Solutions for Singular Quadratic Quasilinear Equations[J].J Differential Equations, 2009, 246(10): 4006-4042. 被引量：1
  • 8周文书,魏晓丹,秦绪龙.一类奇异半线性椭圆方程解的不存在性[J].数学学报（中文版）,2014,57(1):125-130. 被引量：1

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吉林大学学报（理学版）
2012年 第5期

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