Positive Solutions for Resonant (p,q)-equations with convection

被引：24

作者：

Liu, Zhenhai ^{[1
,2
]}

Papageorgiou, Nikolaos S. ^{[3
]}

机构：

[1] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China

[2] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi, Peoples R China

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

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2021年 / 10卷 / 01期

关键词：

Singular term; resonance; nonlinear regularity; Leray-Schauder alternative principle; minimal solution; iterative asymptotic process; DOUBLE-PHASE PROBLEMS; NEUMANN PROBLEMS;

D O I：

10.1515/anona-2020-0108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear parametric Dirichlet problem driven by the (p,q)-Laplacian (double phase problem) with a reaction exhibiting the competing effects of three different terms. Aparametric one consisting of the sum of a singular term and of a drift term (convection) and of a nonparametric perturbation which is resonant. Using the frozen variable method and eventually a fixed point argument based on an iterative asymptotic process, we show that the problem has a positive smooth solution.

引用

页码：217 / 232

页数：16

共 31 条

[11] ON A SINGULAR NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM [J].

LAZER, AC ;

MCKENNA, PJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 111 (03) :721-730

[12] THE NATURAL GENERALIZATION OF THE NATURAL CONDITIONS OF LADYZHENSKAYA AND URALTSEVA FOR ELLIPTIC-EQUATIONS [J].

LIEBERMAN, GM .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (2-3) :311-361

[13] Preparation of diglycolamide polymer modified silica and its application as adsorbent for rare earth ions [J].

Liu, Zhe ;

Liu, Yu ;

Gong, Aijun .

DESIGNED MONOMERS AND POLYMERS, 2019, 22 (01) :1-7

[14] On a quasilinear elliptic problem with convection term and nonlinear boundary condition [J].

Marano, Salvatore A. ;

Winkert, Patrick .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 187 :159-169

[15]

Papageorgiou N.S., 2018, ELECT J DIFFERENTIAL, V2018, P1

[16] 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

[17] Ground state and nodal solutions for a class of double phase problems [J].

Papageorgiou, Nikolaos S. ;

Radulescu, Vicentiu D. ;

Repovs, Dusan D. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 71 (01)

[18] Multiple solutions with sign information for semilinear Neumann problems with convection [J].

Papageorgiou, Nikolaos S. ;

Vetro, Calogero ;

Vetro, Francesca .

REVISTA MATEMATICA COMPLUTENSE, 2020, 33 (01) :19-38

[19] Positive solutions for nonlinear parametric singular Dirichlet problems [J].

Papageorgiou, Nikolaos S. ;

Radulescu, Vicentiu D. ;

Repovs, Dusan D. .

BULLETIN OF MATHEMATICAL SCIENCES, 2019, 9 (03)

[20] Nonlinear nonhomogeneous singular problems [J].

Papageorgiou, Nikolaos S. ;

Radulescu, Vicentiu D. ;

Repovs, Dusan D. .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (01)

← 1 2 3 4 →