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We present a study of seventeen LAEs at redshift 2$<z<$3 gravitationallylensed by massive early-type galaxies (ETGs) at a mean redshift ofapproximately 0.5. Using a fully Bayesian grid-based technique, we model thegravitational lens mass distributions with elliptical power-law profiles andreconstruct the UV-continuum surface brightness distributions of the backgroundsources using pixellated source models. We find that the deflectors are closeto, but not consistent with isothermal models in almost all cases, at the$2\sigma$-level. We take advantage of the lensing magnification (typically$\mu\simeq$ 20) to characterise the physical and morphological properties ofthese LAE galaxies. From reconstructing the ultra-violet continuum emission, wefind that the star-formation rates range from 0.3 to 8.5 M$_{\odot}$ yr$^{-1}$and that the galaxies are typically composed of several compact and diffusecomponents, separated by 0.4 to 4 kpc. Moreover, they have peak star-formationrate intensities that range from 2.1 to 54.1 M$_{\odot}$ yr$^{-1}$ kpc$^{-2}$.These galaxies tend to be extended with major axis ranging from 0.2 to 1.8 kpc(median 561 pc), and with a median ellipticity of 0.49. This morphology isconsistent with disk-like structures of star-formation for more than half ofthe sample. However, for at least two sources, we also find off-axis componentsthat may be associated with mergers. Resolved kinematical information will beneeded to confirm the disk-like nature and possible merger scenario for theLAEs in the sample.

Resolving on 100 pc scales the UV-continuum in Lyman-$\alpha$ emitters between redshift 2 to 3 with gravitational lensing