Singular elliptic system;
p-Laplacian;
Schauder's fixed point theorem;
A priori estimate;
35J75;
35J48;
35J92;
GIERER-MEINHARDT SYSTEM;
POSITIVE SOLUTION;
EXISTENCE;
D O I:
10.1007/s10231-019-00832-1
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theorem.
机构:
Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, ItalyUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
Guarnotta, Umberto
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机构:
Marano, Salvatore Angelo
Moussaoui, Abdelkrim
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机构:
A Mira Bejaia Univ, Fac Exact Sci, LMA, Bejaia 06000, AlgeriaUniv Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
机构:
Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R ChinaHohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
Chen, Caisheng
Chen, Lin
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机构:
Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
Yili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R ChinaHohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
Chen, Lin
Xiu, Zonghu
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机构:
Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
Qingdao Agr Univ, Sci & Informat Coll, Qingdao 266109, Peoples R ChinaHohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
机构:
A Mira Bejaia Univ, Fac Exact Sci, Appl Math Lab LMA, Targa Ouzemour 06000, Bejaia, AlgeriaA Mira Bejaia Univ, Fac Exact Sci, Appl Math Lab LMA, Targa Ouzemour 06000, Bejaia, Algeria
机构:
Univ Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat, F-64013 Pau, FranceUniv Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat, F-64013 Pau, France
Giacomoni, Jacques
Schindler, Ian
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机构:
MIP CEREMATH, F-31000 Toulouse, FranceUniv Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat, F-64013 Pau, France
Schindler, Ian
Takac, Peter
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机构:
Univ Rostock, Inst Math, D-18055 Rostock, GermanyUniv Pau & Pays Adour, UMR CNRS 5142, Lab Math & Leurs Applicat, F-64013 Pau, France