On a Perturbed Critical p-Kirchhoff-Type Problem Article Swipe
Gabriel Neves Cunha
,
Francesca Faraci
,
Kaye Silva
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2305.08964
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2305.08964
In this paper we deal with a stationary non-degenerate $p-$Kirchhoff type problem with critical non-linearity and a subcritical parametrized perturbation. We work on bounded domains of the Euclidean space, without any restriction on the dimension or on $p>0$. Variational methods will be utilized in combination with an analysis of the fibering functions of the energy functional, in order to obtain ground state solutions, as well as Mountain Pass solutions, depending on the values of the parameter. A local analysis of the energy functional will allow us to obtain non-trivial solutions even beyond the extremal parameter.
Related Topics
Concepts
Bounded function
Degenerate energy levels
Euclidean space
Mathematics
Mountain pass
Perturbation (astronomy)
Mathematical analysis
Energy functional
Dimension (graph theory)
Euclidean geometry
Space (punctuation)
Applied mathematics
Pure mathematics
Physics
Computer science
Geometry
Quantum mechanics
Operating system
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2305.08964
- https://arxiv.org/pdf/2305.08964
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4376988498
All OpenAlex metadata
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https://openalex.org/W4376988498Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2305.08964Digital Object Identifier
- Title
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On a Perturbed Critical p-Kirchhoff-Type ProblemWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-05-15Full publication date if available
- Authors
-
Gabriel Neves Cunha, Francesca Faraci, Kaye SilvaList of authors in order
- Landing page
-
https://arxiv.org/abs/2305.08964Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2305.08964Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2305.08964Direct OA link when available
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Bounded function, Degenerate energy levels, Euclidean space, Mathematics, Mountain pass, Perturbation (astronomy), Mathematical analysis, Energy functional, Dimension (graph theory), Euclidean geometry, Space (punctuation), Applied mathematics, Pure mathematics, Physics, Computer science, Geometry, Quantum mechanics, Operating systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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