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Main Title: Existence of solutions for singular double phase problems via the Nehari manifold method
Author(s): Liu, Wulong
Dai, Guowei
Papageorgiou, Nikolaos S.
Winkert, Patrick
Type: Article
Abstract: In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term. Based on the fibering method by using the Nehari manifold we are going to prove the existence of at least two weak solutions for such problems when the parameter is sufficiently small.
Subject(s): double phase operator
fibering method
multiple solutions
Nehari manifold
singular problems
Issue Date: 18-Apr-2022
Date Available: 27-Jun-2022
Language Code: en
DDC Class: 510 Mathematik
Sponsor/Funder: TU Berlin, Open-Access-Mittel – 2022
Journal Title: Analysis and Mathematical Physics
Publisher: Springer Nature
Volume: 12
Article Number: 75
Publisher DOI: 10.1007/s13324-022-00686-6
EISSN: 1664-235X
ISSN: 1664-2368
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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