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.
Iannizzotto, A., Squassina, M., 1/2-Laplacian problems with exponential nonlinearity, <<JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS>>, 2014; 414 (N/A): 372-385 [http://hdl.handle.net/10807/87878]
1/2-Laplacian problems with exponential nonlinearity
Squassina, MarcoUltimo
2014
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.
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