Precise asymptotic expansions are established for singularly perturbed elliptic problems with multiplicative nonlocal diffusion and Robin boundary conditions, with higher-order terms explicitly involving boundary mean curvature due to the nonlocal coupling.
Lee,Domain-size effects on boundary layers of a nonlocal sinh-Gordon equation, Nonlinear Anal.202(1) (2021) 112141, 32 pages
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Refined boundary layer asymptotics for elliptic equations with multiplicative nonlocal effects
Precise asymptotic expansions are established for singularly perturbed elliptic problems with multiplicative nonlocal diffusion and Robin boundary conditions, with higher-order terms explicitly involving boundary mean curvature due to the nonlocal coupling.