| Contents |
| We consider the following nonlocal equation
$$
\int_{{\mathbb R}^N}J\left(\frac{x-y}{g(y)}\right) \frac{u(y)}{g(y)} dy -u(x)=0
$$
where $J$ is an even, compactly supported, H\"{o}lder continuous probability
kernel and $g$ is a continuous and positive function. We study the solutions depending on the behavior of $g$.
Acknowledgements:
C. C. and M. E. are supported by FONDECYT 1110074; J. G-M. is supported by MTM2011-27998; S. M. is supported by FONDECYT 1130602,
Basal project CMM U. de Chile and UMI 2807 CNRS. |
|