On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method

被引:17
作者
Alves, Claudianor O. [1 ]
Figueiredo, Giovany M. [2 ]
Nascimento, Rubia G. [2 ]
机构
[1] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58429900 Campina Grande, PB, Brazil
[2] Fed Univ Para, Dept Matemat, BR-66075110 Belem, Para, Brazil
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2014年 / 65卷 / 01期
关键词
NON-DIFFERENTIABLE FUNCTIONS; MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS; EQUATIONS; THEOREM;
D O I
10.1007/s00033-013-0316-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper, we establish existence and concentration of positive solution for a class of elliptic problems in whose nonlinearity is discontinuous.
引用
收藏
页码:19 / 40
页数:22
相关论文
共 45 条
[1]   A Concentration Phenomenon for Semilinear Elliptic Equations [J].
Ackermann, Nils ;
Szulkin, Andrzej .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 207 (03) :1075-1089
[2]  
Alves CO, 2011, J CONVEX ANAL, V18, P627
[3]  
Alves C. O., MATH SCANDI IN PRESS
[4]  
Alves CO, 2006, DIFFER INTEGRAL EQU, V19, P143
[5]  
Alves CO, 2012, Z ANGEW MATH PHYS, V63, P107, DOI 10.1007/s00033-011-0153-0
[6]  
Alves CO, 2005, ADV NONLINEAR STUD, V5, P551
[7]  
Alves CO, 2005, ADV NONLINEAR STUD, V5, P73
[8]  
Alves CO, 2002, COMMUN PURE APPL ANA, V1, P417
[9]   A variational approach to discontinuous problems with critical Sobolev exponents [J].
Alves, CO ;
Bertone, AM ;
Goncalves, JV .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (01) :103-127
[10]  
Ambrosetti A., 1988, Diff. Int. Equ, V1, P341