MULTIPLICITY OF SOLUTIONS TO A SCALAR-FIELD EQUATION INVOLVING THE SOBOLEV CRITICAL EXPONENT WITH THE ROBIN CONDITION

被引：0

作者：

Kabeya, Y. ^{[1
]}

机构：

[1] Miyazaki Univ, Dept Appl Math, Miyazaki 8892192, Japan

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2005年 / 10卷 / 10期

基金：

日本学术振兴会;

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A scalar-field type equation with the Robin condition is discussed. For some range of the parameter, the multiplicity of solutions is obtained. Moreover, one of the obtained solutions has a blowup property and the blowup point is determined.

引用

页码：1111 / 1129

页数：19

共 50 条

[1] Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition
Kabeya, Y
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 14 (01) : 117 - 134
[2] Multiplicity of positive radial solutions to a higher dimensional scalar-field equation involving the critical sobolev exponent under the robin condition
Kabeya, Yoshitsugu
Morishita, Hiroshi
FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2006, 49 (03): : 469 - 503
[3] Multiple solutions for a quasilinear Schrodinger equation involving critical Hardy-Sobolev exponent with Robin boundary condition
Deng, Yin
Jia, Gao
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (11) : 2602 - 2618
[4] MULTIPLICITY AND CONCENTRATION OF SOLUTIONS TO A SINGULAR CHOQUARD EQUATION WITH CRITICAL SOBOLEV EXPONENT
Yu, Shengbin
Chen, Jianqing
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (01): : 110 - 136
[5] On the Schrodinger equation involving a critical Sobolev exponent and magnetic field
Chabrowski, J
Szulkin, A
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2005, 25 (01) : 3 - 21
[6] Singular Solutions of the Scalar Field Equation with a Critical Exponent
Chern, Jann-Long
Yanagida, Eiji
GEOMETRIC PROPERTIES FOR PARABOLIC AND ELLIPTIC PDE'S, 2016, 176 : 277 - 288
[7] ON SYMMETRICAL SOLUTIONS OF AN ELLIPTIC EQUATION WITH A NONLINEARITY INVOLVING CRITICAL SOBOLEV EXPONENT
BIANCHI, G
CHABROWSKI, J
SZULKIN, A
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (01) : 41 - 59
[8] EXACT MULTIPLICITY OF POSITIVE SOLUTIONS OF AN ELLIPTIC EQUATION INVOLVING THE CRITICAL EXPONENT
GLANGETAS, L
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 312 (11): : 807 - 810
[9] Multiplicity of Solutions for Elliptic System Involving Supercritical Sobolev Exponent
Fang, Yanqin
Zhang, Jihui
ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (03) : 255 - 264
[10] Multiplicity of Solutions for Elliptic System Involving Supercritical Sobolev Exponent
Yanqin Fang
Jihui Zhang
Acta Applicandae Mathematicae, 2011, 115 : 255 - 264

← 1 2 3 4 5 →