# Moser functions and fractional Moser-Trudinger type inequalities

Hyder, Ali. (2015) Moser functions and fractional Moser-Trudinger type inequalities.

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Official URL: https://edoc.unibas.ch/69995/

$(−∆)^{n/2} u = \lambda u e^{bu^2} in \Omega, 0 < \lambda < \lambda_1, b > 0,$
with Dirichlet boundary condition, for any domain $\Omega$ in $\mathbb{R}$ with finite measure. Here $\lambda_1$ is the first eigenvalue of $(−∆)^{n/2}$ on $\Omega$.