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

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