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math.APOct 1, 2019
3
citations (OpenAlex)
authors
  • Masoud Bayrami-Aminlouee
  • Mahmoud Hesaaraki
institutions
  • Sharif University of Technology
arXiv abstractPDF
paper

A note on the existence of a unique positive entropy solution to a fractional Laplacian with singular nonlinearities

arXiv:1910.04716 · doi:10.1080/17476933.2020.1743984

Abstract

In this paper, we prove the existence of a unique positive entropy solution to a fractional Laplacian problem involving nonlinear singular terms and also a non-negative bounded Radon measure as a source term.

arXiv commentWe are grateful for any feedback or comments

References in corpus (11)

  • An extension problem related to the fractional Laplacian
  • Inverse Problem for a Curved Quantum Guide
  • Ten equivalent definitions of the fractional Laplace operator
  • Nonlocal equations with measure data
  • Finite and Infinite energy solutions of singular elliptic problems: Existence and Uniqueness
  • On singular elliptic equations with measure sources
  • What Is the Fractional Laplacian?
  • Sharp Trace Hardy-Sobolev-Maz'ya Inequalities and the Fractional Laplacian
  • A Lazer-McKenna type problem with measures
  • Some remarks on the duality method for Integro-Differential equations with measure data
  • Existence and stabilization results for a singular parabolic equation involving the fractional Laplacian

Cited by in corpus (1)

  • A fractional Laplacian problem with mixed singular nonlinearities and nonregular data
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