An extension of the estimation for solutions of certain Laplace equations

被引:3
|
作者
Huang, Bin [1 ]
Wang, Jiaofeng [2 ]
Zylbersztejn, Maria Hampshire [3 ]
机构
[1] Quzhou Univ, Math & Stat Sci, Quzhou 324000, Peoples R China
[2] Quzhou Vocat & Tech Coll, Math & Stat Sci, Quzhou 324000, Peoples R China
[3] Univ Fed Rio de Janeiro, Dept Matemat, Caixa Postal 68530, BR-21945970 Rio De Janeiro, RJ, Brazil
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
关键词
growth property; certain Laplace equation; cone; NEUMANN;
D O I
10.1186/s13660-016-1109-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by using a new type of Carleman formula with respect to a certain Laplace operator, we estimate the growth property for solutions of certain Laplace equations defined in a smooth cone.
引用
收藏
页数:8
相关论文
共 50 条
  • [21] Infinitely many solutions for perturbed Δγ-Laplace equations
    Duong Trong Luyen
    Le Thi Hong Hanh
    GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (06) : 863 - 882
  • [22] REDUCED BASIS METHODS FOR FRACTIONAL LAPLACE EQUATIONS VIA EXTENSION
    Antil, Harbir
    Chen, Yanlai
    Narayan, Akil
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 41 (06): : A3552 - A3575
  • [23] EXTENSION OF TRIPLE LAPLACE TRANSFORM FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS
    Khan, Amir
    Khan, Asaf
    Khan, Tahir
    Zaman, Gul
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 755 - 768
  • [24] DECAY ESTIMATION FOR POSITIVE SOLUTIONS OF A γ-LAPLACE EQUATION
    Lei, Yutian
    Li, Congming
    Ma, Chao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 30 (02) : 547 - 558
  • [25] ON OSCILLATORY SOLUTIONS OF CERTAIN DIFFERENCE EQUATIONS
    Grzegorczyk, Grzegorz
    Werbowski, Jaroslaw
    OPUSCULA MATHEMATICA, 2006, 26 (02) : 317 - 326
  • [26] Special solutions of certain difference equations
    John, F
    ACTA MATHEMATICA, 1939, 71 (01) : 175 - 189
  • [28] On the oscillation of solutions of certain differential equations
    Elzaidi S.M.
    Results in Mathematics, 1997, 32 (3-4) : 291 - 297
  • [29] UNIQUENESS OF SOLUTIONS OF CERTAIN DIOPHANTINE EQUATIONS
    MUSKAT, JB
    ZEE, YC
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 49 (01) : 13 - 19
  • [30] CERTAIN TRANSCENDENTAL SOLUTIONS TO EINSTEIN EQUATIONS
    LEAUTE, B
    MARCILHACY, G
    ANNALES DE L INSTITUT HENRI POINCARE SECTION A PHYSIQUE THEORIQUE, 1979, 31 (04): : 363 - 375