Abstract
The goal of this paper is to study a class of nonlinear functional elliptic equations using very simple comparison principles. We first construct a nontrivial solution and then study its asymptotic behaviour when the diffusion coefficient goes to 0.
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Partially supported by NF contract #20-113287/1 and 20-117614/1.
Partially supported by CNPq-Brazil-301603/2007-3.
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Chipot, M., Corrêa, F.J.S.A. Boundary layer solutions to functional elliptic equations. Bull Braz Math Soc, New Series 40, 381–393 (2009). https://doi.org/10.1007/s00574-009-0017-9
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DOI: https://doi.org/10.1007/s00574-009-0017-9