ROBIN PROBLEMS FOR THE p-LAPLACIAN WITH GRADIENT DEPENDENCE

被引：5

作者：

Fragnelli, Genni ^{[1
]}

Mugnai, Dimitri ^{[2
]}

Papageorgiou, Nikolaos S. ^{[3
]}

机构：

[1] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

[2] Univ Tuscia, Dipartimento Sci Ecol & Biol DEB, I-01100 Viterbo, Italy

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2019年 / 12卷 / 02期

关键词：

Convection term; nonlinear regularity; Leray-Schauder alternative principle; maximal monotone map; compact embedding; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.3934/dcdss.2019020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear elliptic equation with Robin boundary condition driven by the p-Laplacian and with a reaction term which depends also on the gradient. By using a topological approach based on the Leray-Schauder alternative principle, we show the existence of a smooth solution.

引用

页码：287 / 295

页数：9

共 13 条

[1]

[Anonymous], 2014, TOPOLOGICAL VARIATIO, DOI DOI 10.1007/978-1-4614-9323-5

[2]

De Figueiredo D, 2004, DIFFER INTEGRAL EQU, V17, P119

[3] 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

[4]

Gasinski L., 2006, SERIES MATH ANAL APP, V9

[5] Positive solutions for nonlinear elliptic problems with dependence on the gradient [J].

Gasinski, Leszek ;

Papageorgiou, Nikolaos S. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (02) :1451-1476

[6] Positive and negative solutions of a quasi-linear elliptic equation by a Mountain Pass method and truncature techniques [J].

Girardi, M ;

Matzeu, M .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 59 (1-2) :199-210

[7] BOUNDARY-REGULARITY FOR SOLUTIONS OF DEGENERATE ELLIPTIC-EQUATIONS [J].

LIEBERMAN, GM .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (11) :1203-1219

[8]

Mugnai D, 2012, ANN SCUOLA NORM-SCI, V11, P729

[9] Existence and multiplicity results for generalized logistic equations [J].

Nguyen Bich Huy ;

Bui The Quan ;

Nguyen Huu Khanh .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 144 :77-92

[10]

Papageorgiou N. S., 2016, APPL MATH OPT, P1

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