On double phase Kirchhoff problems with singular nonlinearity

Abstract: In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth. Under very general assumptions on the data, we prove the existence of at least two weak solutions that have different energy sign. Our treatment is based on the fibering method in form of the Nehari manifold. We point out that we cover both the nondegenerate as well as the degenerate Kirchhoff case in our setting.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
On double phase Kirchhoff problems with singular nonlinearity ; volume:12 ; number:1 ; year:2023 ; extent:24
Advances in nonlinear analysis ; 12, Heft 1 (2023) (gesamt 24)

Creator
Arora, Rakesh
Fiscella, Alessio
Mukherjee, Tuhina
Winkert, Patrick

DOI
10.1515/anona-2022-0312
URN
urn:nbn:de:101:1-2023061514021728907561
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:48 AM CEST

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