A priori bounds and existence of solutions for some nonlocal elliptic problems

  1. Begoña Barrios 1
  2. Leandro M. Del Pezzo 2
  3. Jorge García-Melián 3
  4. Alexander Quaas 4
  1. 1 University of Texas at Austin
    info

    University of Texas at Austin

    Austin, Estados Unidos

    ROR https://ror.org/00hj54h04

  2. 2 CONICET and Universidad de Buenos Aires
  3. 3 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

  4. 4 Universidad Técnica Federico Santa María
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Journal:
Revista matemática iberoamericana

ISSN: 0213-2230

Year of publication: 2018

Volume: 34

Issue: 1

Pages: 195-220

Type: Article

DOI: 10.4171/RMI/983 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Revista matemática iberoamericana

Abstract

In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degree, which requires a priori bounds for the solutions. We obtain the a priori bounds by adapting the classical scaling method of Gidas and Spruck. We also deal with problems involving gradient terms.

Data source: Dialnet