| Abstract: |
| We are concern with elliptic equations in $\\\\Bbb R^N$, driven by a non-local integro-differential operator, which involves the fractional p-Laplacian. The main aim of this paper is to prove the existence of small solutions for our problem with negative energy in the sense that the sequence of solutions converges to $0$ in the $L^{\\\\infty}$-norm by employing the regularity type result on the
$L^{\\\\infty}$-boundedness of solutions and the modified functional method. |
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