GLOBAL MULTIPLICITY FOR PARAMETRIC ANISOTROPIC NEUMANN (p, q)-EQUATIONS

被引：0

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
,4
]}

Repovs, Dusan D. ^{[5
,6
,7
]}

机构：

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

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

[4] Brno Univ, Fac Elect Engn & Commun, Tech 3058-10, Brno 61600, Czech Republic

[5] Univ Ljubljana, Fac Educ, Ljubljana 1000, Slovenia

[6] Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, Slovenia

[7] Univ Ljubljana, Inst Math Phys & Mech, Ljubljana 1000, Slovenia

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 01期

关键词：

Anisotropic operator; superlinear reaction; positive and nodal solutions; critical groups; KIRCHHOFF-TYPE PROBLEMS; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; SOBOLEV SPACES; EXISTENCE;

D O I：

10.12775/TMNA.2022.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a Neumann boundary value problem driven by the anisotropic (p, q)-Laplacian plus a parametric potential term. The reaction is "superlinear". We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.

引用

页码：393 / 422

页数：30

共 50 条

[1] Parametric Anisotropic(p,q)-Neumann Problems
Zhen-hai LIU
Nikolaos S.PAPAGEORGIOU
Acta Mathematicae Applicatae Sinica, 2023, 39 (04) : 926 - 942
[2] Parametric Anisotropic (p, q)-Neumann Problems
Zhen-hai Liu
Nikolaos S. Papageorgiou
Acta Mathematicae Applicatae Sinica, English Series, 2023, 39 : 926 - 942
[3] Parametric Anisotropic (p, q)-Neumann Problems
Liu, Zhen-hai
Papageorgiou, Nikolaos S.
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2023, 39 (04): : 926 - 942
[4] A MULTIPLICITY THEOREM FOR PARAMETRIC SUPERLINEAR (p, q)-EQUATIONS
Onete, Florin-Iulian
Papageorgiou, Nikolaos S.
Vetro, Calogero
OPUSCULA MATHEMATICA, 2020, 40 (01) : 131 - 149
[5] Global Multiplicity for the Positive Solutions of Parametric Singular (p, q)-equations with Indefinite Perturbations
Nikolaos S. Papageorgiou
Chao Zhang
Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
[6] Global Multiplicity for the Positive Solutions of Parametric Singular (p, q)-equations with Indefinite Perturbations
Papageorgiou, Nikolaos S.
Zhang, Chao
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (01)
[7] Singular Neumann (p, q)-equations
Nikolaos S. Papageorgiou
Calogero Vetro
Francesca Vetro
Positivity, 2020, 24 : 1017 - 1040
[8] Singular Neumann (p, q)-equations
Papageorgiou, Nikolaos S.
Vetro, Calogero
Vetro, Francesca
POSITIVITY, 2020, 24 (04) : 1017 - 1040
[9] Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection
Francesca Vetro
Patrick Winkert
Applied Mathematics & Optimization, 2022, 86
[10] Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection
Vetro, Francesca
Winkert, Patrick
APPLIED MATHEMATICS AND OPTIMIZATION, 2022, 86 (02):

← 1 2 3 4 5 →