Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type

被引：2
|
作者：
Kim, Yun-Ho [1 ]
机构：
[1] Sangmyung Univ, Dept Math Educ, Seoul 110743, South Korea
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
p(x)-Laplacian; variable exponent Lebesgue-Sobolev spaces; weak solution; eigenvalue; DEGENERATE ELLIPTIC-EQUATIONS; GLOBAL BIFURCATION; VARIABLE EXPONENT; SOBOLEV SPACES; EIGENVALUES;
D O I：
10.1186/1687-2770-2014-27
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with the following nonlinear problem -div(phi(x,vertical bar del u vertical bar del u)=mu vertical bar u vertical bar-(p(x)-2)u + f(lambda,x,u,del u) in Omega subject to Dirichlet boundary conditions, provided that mu is not an eigenvalue of the p(x)-Laplacian. The purpose of this paper is to study the global behavior of the set of solutions for nonlinear equations of p(x)-Laplacian type by applying a bifurcation result for nonlinear operator equations.
引用
收藏
页数：20
相关论文
共 50 条
  • [1] Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type
    Yun-Ho Kim
    Boundary Value Problems, 2014
  • [2] Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian
    Hwang, Byung-Hoon
    Lee, Seung Dae
    Kim, Yun-Ho
    BOUNDARY VALUE PROBLEMS, 2014,
  • [3] Existence of an unbounded branch of the set of solutions for Neumann problems involving the p(x)-Laplacian
    Byung-Hoon Hwang
    Seung Dae Lee
    Yun-Ho Kim
    Boundary Value Problems, 2014
  • [4] Existence of positive solutions for p(x)-Laplacian equations in unbounded domains
    Liu, Wulong
    Zhao, Peihao
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) : 3358 - 3371
  • [5] Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)- Laplace type in RN
    Lee, Seung Dae
    Park, Kisoeb
    Kim, Yun-Ho
    BOUNDARY VALUE PROBLEMS, 2014,
  • [6] Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN
    Seung Dae Lee
    Kisoeb Park
    Yun-Ho Kim
    Boundary Value Problems, 2014
  • [7] Existence of solutions for a class of quasilinear degenerate p(x)-Laplace equations
    Zhou, Qing-Mei
    Wu, Jian-Fang
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (69)
  • [8] EXISTENCE OF SOLUTIONS TO STOCHASTIC p(t, x)-LAPLACE EQUATIONS AND APPLICATIONS
    Liang, Chen
    Yan, Lixu
    Fu, Yongqiang
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (27) : 1 - 18
  • [9] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR EQUATIONS OF p(x)-LAPLACE TYPE IN RN WITHOUT AR-CONDITION
    Kim, Jae-Myoung
    Kim, Yun-Ho
    Lee, Jongrak
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2018, 31 (5-6) : 435 - 464
  • [10] Existence of Renormalized Solutions for p(x)-Parabolic Equations with three Unbounded Nonlinearities
    Akdim, Youssef
    El Gorch, Nezha
    Mekkour, Mounir
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2016, 34 (01): : 225 - 252
12345