Positive solutions for singular double phase problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:501

Article

Papageorgiou, Nikolaos S.¹  Repovs, Dusan D.^2,3  Vetro, Calogero⁴ 

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

[2] Univ Ljubljana, Inst Math Phys & Mech, Fac Educ, Ljubljana, Slovenia

[3] Univ Ljubljana, Inst Math Phys & Mech, Fac Math & Phys, Ljubljana, Slovenia

[4] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy

关键词: Double phase problem;    Singular term;    Nehari manifold;    Positive solutions;    Discontinuous weight;   

DOI  :  10.1016/j.jmaa.2020.123896

来源: Elsevier

【 摘 要 】

We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term. The differential operator of the equation is the sum of a p Laplacian and of a weighted q-Laplacian (q < p) with discontinuous weight. Using the Nehari method, we show that for all small values of the parameter lambda > 0, the equation has at least two positive solutions. (c) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free