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
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
[1]  
[Anonymous], 2011, Nonlinear Stud.
[2]  
Aranda C, 2004, ELECTRON J DIFFER EQ
[3]  
Aranda CC, 2008, ELECTRON J DIFFER EQ
[4]   Existence and nonexistence of solutions for singular quadratic quasilinear equations [J].
Arcoya, David ;
Carmona, Jose ;
Leonori, Tommaso ;
Martinez-Aparicio, Pedro J. ;
Orsina, Luigi ;
Petitta, Francesco .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) :4006-4042
[5]  
Astarita G., 1974, Principles of Non-Newtonian Fluid Mechanics
[6]   Dirichlet problems with singular and gradient quadratic lower order terms [J].
Boccardo, Lucio .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2008, 14 (03) :411-426
[7]   Semilinear elliptic equations with singular nonlinearities [J].
Boccardo, Lucio ;
Orsina, Luigi .
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (3-4) :363-380
[8]  
Bougherara B, 2015, ELECTRON J DIFFER EQ, P19
[9]   SOME SINGULAR, NON-LINEAR DIFFERENTIAL-EQUATIONS ARISING IN BOUNDARY-LAYER THEORY [J].
CALLEGARI, A ;
NACHMAN, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 64 (01) :96-105
[10]   AN ANALYTICAL SOLUTION OF A NONLINEAR SINGULAR BOUNDARY VALUE PROBLEM IN THEORY OF VISCOUS FLUIDS [J].
CALLEGARI, AJ ;
FRIEDMAN, MB .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 21 (03) :510-+