Bipolynomial fractional Dirichlet-Laplace problem

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dc.contributor.authorIdczak, Dariusz
dc.date.accessioned2021-11-05T19:36:46Z
dc.date.available2021-11-05T19:36:46Z
dc.date.issued2019-05-06
dc.description.abstractIn the article, we derive the existence of solutions for a nonlinear non-autonomous partial elliptic system on an open bounded domain with Dirichlet boundary conditions. This problem contains fractional powers of the weak Dirichlet-Laplace operator in the Stone-von Neumann operator calculus sense. We apply a direct variational method and some results based on the dual least action principle. Both methods give strong solutions of the problem under consideration.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationIdczak, D. (2019). Bipolynomial fractional Dirichlet-Laplace problem. <i>Electronic Journal of Differential Equations, 2019</i>(59), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14792
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPhrase Fractional Dirichlet-Laplace operator
dc.subjectStone-von Neumann operator calculus' variational methods
dc.titleBipolynomial fractional Dirichlet-Laplace problem
dc.typeArticle

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