documentclass[3p]{elsarticle}
begin{document}
noindent
begin{minipage}{0.78textwidth}
begin{flushleft}
Large
Unified solution for the Legendre equation in the interval $[-1,1]$---An
example of solving singular-ordinary differential equations\[2ex]
large
Quing-Hua Zhangtextsuperscript{a}, Jian Matextsuperscript{b,textasteriskcentered},
Yuanyuan Qutextsuperscript{a}\[1ex]
footnotesize
textsuperscript{a}emph{The First Institute of Oceanography, dots}\
textsuperscript{b}emph{College of Marine Sciences, dots}
end{flushleft}
end{minipage}
end{document}