arXiv:1506.04289 Abstract | arXiv Analytics

arXiv:1506.04289 [math.AP]Abstract References Reviews Resources

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

B. Barrios, L. Del Pezzo, J. García-Melián, A. Quaas

Published 2015-06-13Version 1

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.

Comments: 23 pages

Categories: math.AP

Keywords: priori bounds, nonlocal elliptic problems, nonlocal diffusion, nonvariational tools, gradient terms

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