Some recent results on singular p-Laplacian equations

被引：12
作者：
Guarnotta, Umberto [1 ]
Livrea, Roberto [1 ]
Marano, Salvatore A. [2 ]
机构：
[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy
[2] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
来源：
DEMONSTRATIO MATHEMATICA | 2022年 / 55卷 / 01期
关键词：
quasi-linear elliptic equation; gradient dependence; singular term; entire solution; strong solution; NONLINEAR ELLIPTIC-EQUATIONS; BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; ASYMPTOTIC-BEHAVIOR; DIRICHLET PROBLEMS; GROUND-STATES; EXISTENCE; UNIQUENESS; NONEXISTENCE; REGULARITY;
D O I：
10.1515/dema-2022-0031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.
引用
收藏
页码：416 / 428
页数：13
相关论文
共 86 条
[61]   SOLUTIONS FOR SINGULAR p-LAPLACIAN EQUATION IN Rn [J].
Liu, Xiangqing ;
Guo, Yuxia ;
Liu, Jiaquan .
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2009, 22 (04) :597-613
[62]   Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient [J].
Liu, Zhenhai ;
Motreanu, Dumitru ;
Zeng, Shengda .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2019, 58 (01)
[63]   A NON-LINEAR SINGULAR BOUNDARY-VALUE PROBLEM IN THE THEORY OF PSEUDOPLASTIC FLUIDS [J].
NACHMAN, A ;
CALLEGARI, A .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 38 (02) :275-281
[64]   A nonlinear parabolic problem with singular terms and nonregular data [J].
Oliva, Francescantonio ;
Petitta, Francesco .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 194
[65]   Finite and infinite energy solutions of singular elliptic problems: Existence and uniqueness [J].
Oliva, Francescantonio ;
Petitta, Francesco .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (01) :311-340
[66]  
Orsina L, 2016, DIFFER INTEGRAL EQU, V29, P19
[67]   Singular Dirichlet (p, q)-Equations [J].
Papageorgiou, Nikolaos S. ;
Winkert, Patrick .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (04)
[68]   Robin double-phase problems with singular and superlinear terms [J].
Papageorgiou, Nikolaos S. ;
Radulescu, Vicentiu D. ;
Repovs, Dusan D. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 58 (58)
[69]   Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms [J].
Papageorgiou, Nikolaos S. ;
Zhang, Youpei .
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[70]   Positive solutions for nonlinear Neumann problems with singular terms and convection [J].
Papageorgiou, Nikolaos S. ;
Radulescu, Vicentiu D. ;
Repovs, Dusan D. .
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 136 :1-21
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