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.

1/2-Laplacian problems with exponential nonlinearity

IANNIZZOTTO, ANTONIO;SQUASSINA, Marco
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.
Exponential nonlinearity; fractional laplacian
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/650361
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