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, Marco
Ultimo
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.
Inglese
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/87878
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