Existence of solutions for singular double phase problems via the Nehari manifold method
By Wulong Liu, Guowei Dai, Nikolaos S. Papageorgiou, Patrick Winkert. Analysis and Mathematical Physics, 2021
48 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/289afbc45adba589bbc8b771271781d309b6474e
How researchers see this paper
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In Applied Mathematics
- R. Arora
- T. Mukherjee
- Patrick Winkert
- A. Fiscella
- Vicentiu D. Rădulescu
- Ky Ho
- Leszek Gasinski
- Patrizia Pucci
In Computational Theory and Mathematics
- R. Arora
- Patrick Winkert
- T. Mukherjee
- A. Fiscella
- Vicentiu D. Rădulescu
- Leszek Gasinski
- Ky Ho
- Patrizia Pucci
In Mathematical Physics
- Patrick Winkert
- T. Mukherjee
- R. Arora
- A. Fiscella
- Binlin Zhang
- Patrizia Pucci
- Mingqi Xiang
- Leszek Gasinski
Citations in the corpus
- On double phase Kirchhoff problems with singular nonlinearity (2021, background): “[29] (singular problems), Perera and Squassina [33] (Morse theoretical approach), Zeng et al.”