A priori bounds and existence of solutions for some nonlocal elliptic problems
- Begoña Barrios 1
- Leandro M. Del Pezzo 2
- Jorge García-Melián 3
- Alexander Quaas 4
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1
University of Texas at Austin
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- 2 CONICET and Universidad de Buenos Aires
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3
Universidad de La Laguna
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- 4 Universidad Técnica Federico Santa María
ISSN: 0213-2230
Año de publicación: 2018
Volumen: 34
Número: 1
Páginas: 195-220
Tipo: Artículo
Otras publicaciones en: Revista matemática iberoamericana
Resumen
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.