1/2-Laplacian problems with exponential nonlinearity
Analysis of PDEs
2013-11-12 v2
Abstract
By exploiting a suitable Trudinger-Moser inequality for fractional Sobolev spaces, we obtain existence and multiplicity of solutions for a class of one-dimensional nonlocal equations with fractional diffusion and nonlinearity at exponential growth.
Cite
@article{arxiv.1310.7785,
title = {1/2-Laplacian problems with exponential nonlinearity},
author = {Antonio Iannizzotto and Marco Squassina},
journal= {arXiv preprint arXiv:1310.7785},
year = {2013}
}
Comments
10 pages