A bipolynomial fractional Dirichlet-Laplace problem

Dariusz Idczak

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arXiv · 1812.11349

A bipolynomial fractional Dirichlet-Laplace problem

Dariusz Idczak

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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.

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Dariusz Idczak. 2018-12-29. A bipolynomial fractional Dirichlet-Laplace problem. https://arxiv.org/abs/1812.11349

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