Faculty of Mathematics and Computer Science
University of Lodz
90-238 Lodz, Banacha 22 Poland
email: dariusz.idczak@wmii.uni.lodz.pl
Dariusz Idczak
Abstract:
In 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.
Submitted July 24, 2018. Published May 6, 2019.
Math Subject Classifications: 35J91, 47B25, 47F05.
Key Words: Phrase Fractional Dirichlet-Laplace operator;
Stone-von Neumann operator calculus' variational methods.
Show me the PDF file (338 KB), TEX file for this article.
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Dariusz Idczak Faculty of Mathematics and Computer Science University of Lodz 90-238 Lodz, Banacha 22 Poland email: dariusz.idczak@wmii.uni.lodz.pl |
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