On a quasilinear elliptic equation with superlinear nonlinearities

被引：0
|
作者：
Gao Jia
Lina Huang
Xiaojuan Zhang
机构：
[1] University of Shanghai for Science and Technology,College of Science
[2] Xingwan School,undefined
来源：
Chinese Annals of Mathematics, Series B | 2016年 / 37卷
关键词：
Weighted Sobolev space; Superlinear; Quasilinear elliptic equation; 35H30; 35J50; 65L60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of RN. Based on the Galerkin method, Brouwer’s theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem.
引用
收藏
页码：309 / 322
页数：13
相关论文
共 50 条
  • [1] On a Quasilinear Elliptic Equation with Superlinear Nonlinearities
    Gao JIA
    Lina HUANG
    Xiaojuan ZHANG
    [J]. Chinese Annals of Mathematics,Series B, 2016, 37 (02) : 309 - 322
  • [2] On a Quasilinear Elliptic Equation with Superlinear Nonlinearities
    Jia, Gao
    Huang, Lina
    Zhang, Xiaojuan
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (02) : 309 - 322
  • [3] Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
    Jia Gao
    Huang Lina
    Zhang Xiaojuan
    [J]. Boundary Value Problems, 2012
  • [4] Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities
    Jia Gao
    Huang Lina
    Zhang Xiaojuan
    [J]. BOUNDARY VALUE PROBLEMS, 2012,
  • [5] ON A SUPERLINEAR ELLIPTIC EQUATION
    WANG, ZQ
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1991, 8 (01): : 43 - 57
  • [6] GLOBAL MULTIPLICITY OF SOLUTIONS FOR A QUASILINEAR ELLIPTIC EQUATION WITH CONCAVE AND CONVEX NONLINEARITIES
    Chen, Siyu
    Santos, Carlos Alberto
    Yang, Minbo
    Zhou, Jiazheng
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS, 2021, 26 (9-10) : 425 - 458
  • [7] Elliptic systems involving sublinear and superlinear nonlinearities
    Cerda, Patricio
    Clemente, Rodrigo
    Ferraz, Diego
    Ubilla, Pedro
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (02)
  • [8] Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities
    Yuan, Chunmei
    Guo, Shujuan
    Tong, Kaiyu
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
  • [9] Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities
    Furtado, Marcelo F.
    Silva, Edcarlos D.
    Severo, Uberlandio B.
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (06):
  • [10] Sign Changing Solutions for Quasilinear Superlinear Elliptic Problems
    Correa, F. J. S. A.
    Carvalho, M. L. M.
    Goncalves, Jose V. A.
    Silva, E. D.
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 2017, 68 (02): : 391 - 420
12345