Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian

dc.contributor.authorCarmona, Jose
dc.contributor.authorMolino, Alexis
dc.date.accessioned2023-05-23T16:11:15Z
dc.date.available2023-05-23T16:11:15Z
dc.date.issued2023-02-17
dc.description.abstractIn this article we prove that there are no nontrivial solutions to the Dirichlet problem for the fractional Laplacian (-∆)su = ƒ(u) in Ω, u = 0 in ℝN\Ω, where Ω ⊂ ℝN (N≥1) is a bounded domain, and f is locally Lipschitz with non-positive primitive F(t) = ∫t0 ƒ(τ)dτ.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCarmona, J., & Molino, A. (2023). Nonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian. <i>Electronic Journal of Differential Equations, 2023</i>(16), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16851
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional Laplacian
dc.subjectDirichlet problem
dc.subjectNonexistence of solutions
dc.titleNonexitence of nontrivial solutions to Dirichlet problems for the fractional Laplacian
dc.typeArticle

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