Ground state and nodal solutions for a class of double phase problems

被引：47

作者：

Papageorgiou, Nikolaos S. ^{[1
]}

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

Repovs, Dusan D. ^{[4
,5
,6
]}

机构：

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

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

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

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

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

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

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 71卷 / 01期

关键词：

Double phase operator; Weight function; Superlinear reaction; Nehari manifold; Ground state solution; Nodal solution; REGULARITY; EXISTENCE; EQUATIONS;

D O I：

10.1007/s00033-019-1239-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a double phase problem driven by the sum of the p-Laplace operator and a weighted q-Laplacian (q < p), with a weight function which is not bounded away from zero. The reaction term is (p - 1)-superlinear. Employing the Nehari method, we show that the equation has a ground state solution of constant sign and a nodal (sign-changing) solution.

引用

页数：15

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