Bipolynomial fractional Dirichlet-Laplace problem
Date
2019-05-06
Authors
Idczak, Dariusz
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Phrase Fractional Dirichlet-Laplace operator, Stone-von Neumann operator calculus' variational methods
Citation
Idczak, D. (2019). Bipolynomial fractional Dirichlet-Laplace problem. <i>Electronic Journal of Differential Equations, 2019</i>(59), pp. 1-17.
Rights
Attribution 4.0 International