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Parametric Singular Problems with an Indefinite Perturbation.

Authors :
Bień, Krzysztof
Majdak, Witold
Papageorgiou, Nikolaos S.
Source :
Journal of Geometric Analysis; Apr2024, Vol. 34 Issue 4, p1-22, 22p
Publication Year :
2024

Abstract

We consider a parametric Dirichlet problem driven by a nonhomogenous differential operator. In the parametric reaction we have the competing effects of a singular term and of a superlinear perturbation which is sign-changing. Using variational tools together with truncation and comparison techniques we show that for all small values of the parameter the problem has at least two smooth solutions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10506926
Volume :
34
Issue :
4
Database :
Complementary Index
Journal :
Journal of Geometric Analysis
Publication Type :
Academic Journal
Accession number :
175475230
Full Text :
https://doi.org/10.1007/s12220-024-01549-1