A bipolynomial fractional Dirichlet-Laplace problem
Analysis of PDEs
2019-01-01 v1
Abstract
In the paper, we derive an existence result for a nonlinear nonautonomous partial elliptic system on an open bounded domain with Dirichlet boundary conditions, containg fractional powers of the weak Dirichlet-Laplace operator that are meant in the Stone-von Neumann operator calculus sense. We apply a variational method which gives strong solutions of the problem under consideration.
Cite
@article{arxiv.1812.11349,
title = {A bipolynomial fractional Dirichlet-Laplace problem},
author = {Dariusz Idczak},
journal= {arXiv preprint arXiv:1812.11349},
year = {2019}
}