DOUBLE-PHASE PROBLEMS AND A DISCONTINUITY PROPERTY OF THE SPECTRUM

被引：106

作者：

Papageorgiou, Nikolaos S. ^{[1
,2
]}

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

Repovs, Dusan D. ^{[2
,5
,6
]}

机构：

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

[2] Inst Math Phys & Mech, Ljubljana 1000, Slovenia

[3] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[4] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest 014700, Romania

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

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 07期

关键词：

Nehari manifold; continuous spectrum; nonlinear regularity; ELLIPTIC-EQUATIONS; (P; FUNCTIONALS; 2)-EQUATIONS; REGULARITY;

D O I：

10.1090/proc/14466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear eigenvalue problem driven by the sum of p and q-Laplacians. We show that the problem has a continuous spectrum. Our result reveals a discontinuity property for the spectrum of a parametric (p, q)-differential operator as the parameter beta goes to 1(-).

引用

页码：2899 / 2910

页数：12

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