Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms

被引：8

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Zhang, Youpei ^{[2
,3
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[3] Univ Craiova, Dept Math, St AI Cuza 13, Craiova 200585, Romania

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

Frozen variable method; Nonlinear regularity; Minimal positive solution; Leray-Schauder alternative principle; Truncation; Fixed point; Convection term; LINEAR ELLIPTIC-EQUATIONS; DOUBLE-PHASE PROBLEMS; POSITIVE SOLUTIONS; (P; DEPENDENCE; UNIQUENESS; SIGN;

D O I：

10.1186/s13661-020-01450-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear Dirichlet problem driven by a general nonhomogeneous differential operator and with a reaction exhibiting the combined effects of a parametric singular term plus a Caratheodory perturbation f (z, x, y) which is only locally defined in x is an element of R. Using the frozen variable method, we prove the existence of a positive smooth solution, when the parameter is small.

引用

页数：21

共 31 条

[1]

[Anonymous], 1997, Handbook of multivalued analysis (theory)

[2]

[Anonymous], 2016, NONLINEAR ANAL

[3] Nonlinear nonhomogeneous Robin problems with dependence on the gradient [J].

Bai, Yunru ;

Gasinski, Leszek ;

Papageorgiou, Nikolaos S. .

BOUNDARY VALUE PROBLEMS, 2018, :1-24

[4] Finite-time stability of linear non-autonomous systems with time-varying delays [J].

Yang, Xueyan ;

Li, Xiaodi .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[5] On sign-changing solutions for (p, q)-Laplace equations with two parameters [J].

Bobkov, Vladimir ;

Tanaka, Mieko .

ADVANCES IN NONLINEAR ANALYSIS, 2019, 8 (01) :101-129

[6] NONLINEAR NONHOMOGENEOUS ROBIN PROBLEMS WITH CONVECTION [J].

Candito, Pasquale ;

Gasinski, Leszek ;

Papageorgiou, Nikolaos S. .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 :755-767

[7] Positive solutions of quasi-linear elliptic equations with dependence on the gradient [J].

Faraci, F. ;

Motreanu, D. ;

Puglisi, D. .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (01) :525-538

[8]

Gasinski L, 2014, EXERCISES ANAL 1

[9]

Gasinski L., 2016, Exercises in Analysis. Part 2. Nonlinear Analysis

[10] Nonlinear nonhomogeneous Robin problems with gradient dependent reaction [J].

Gasinski, Leszek ;

Krech, Ireneusz ;

Papageorgiou, Nikolaos S. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 55

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