Three Weak Solutions for a Critical Non-Local Problem with Strong Singularity in High Dimension Article Swipe
Gabriel Neves Cunha
,
Francesca Faraci
,
Kaye Silva
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/math12182910
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/math12182910
In this paper, we deal with a strongly singular problem involving a non-local operator, a critical nonlinearity, and a subcritical perturbation. We apply techniques from non-smooth analysis to the energy functional, in combination with the study of the topological properties of the sublevels of its smooth part, to prove the existence of three weak solutions: two points of local minimum and a third one as a mountain pass critical point.
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Metadata
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- Landing Page
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- OA Status
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- References
- 17
- Related Works
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https://openalex.org/W4402648577Canonical identifier for this work in OpenAlex
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https://doi.org/10.3390/math12182910Digital Object Identifier
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Three Weak Solutions for a Critical Non-Local Problem with Strong Singularity in High DimensionWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-09-18Full publication date if available
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Gabriel Neves Cunha, Francesca Faraci, Kaye SilvaList of authors in order
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https://doi.org/10.3390/math12182910Publisher landing page
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://doi.org/10.3390/math12182910Direct OA link when available
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Singularity, Dimension (graph theory), Critical dimension, Mathematics, Mathematical analysis, Physics, Pure mathematics, Condensed matter physicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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