According to autodesk website, it is supported on RHEL(red hat) and centos. Considering centos as based on RHEL, it doesn't make sense that they didn't release for ubuntu. So my quest began to install maya on mint. Why I chose mint in the first place was, as I worked on linux at office, I wanted to have same fun at home. The reason I call linux is fun is, I find it very friendly than windows. I have a Windows laptop which I have rarely used. Still it is very slow compared to Linux and once we use linux we never want to go back and use windows. I guess I wandered a bit far from the original answer why I chose mint. The reason is, it feels closer to both windows and linux. The look and feel is like windows and the operations are linux. When I first thought of installing maya on mint, I was very excited. But gradually the excitement was diminishing as issues started cropping up. There was this rpm file, but mint takes deb. Thought about all options such as converting rpm to deb using alien. installing Centos had also crossed my mind once. After weeks of poking my nose and troubleshooting I have listed out the commands and steps below to successfully install maya on mint. ​
Autodesk maya 2019 install on linux mint 19
$ echo 'deb http://archive.ubuntu.com/ubuntu xenial main restricted universe multiverse' | sudo tee /etc/apt/sources.list.d/xenial.list
$ sudo apt-get update
$ sudo apt-get install -y libtbb-dev libtiff5-dev libssl-dev libpng12-dev libssl1.0.0 gcc libjpeg62
$ sudo apt-get install -y alien elfutils
$ sudo apt-get install -y libaudiofile-dev libgstreamer-plugins-base0.10-0
$ sudo apt-get install -y libglw1-mesa libglw1-mesa-dev mesa-utils
$ sudo apt-get install -y xfonts-100dpi xfonts-75dpi ttf-mscorefonts-installer fonts-liberation
$ sudo apt-get install -y csh tcsh libfam0 libfam-dev xfstt
$ cd /tmp
$ wget http://launchpadlibrarian.net/183708483 ... _amd64.deb
$ sudo dpkg -i libxp6_1.0.2-2_amd64.deb
$ cd ~/Downloads
$ wget https://trial2.autodesk.com/NetSWDLD/20 ... _64bit.tgz
$ mkdir maya2019Installer
$ tar xvzf Autodesk_Maya_2019_Linux_64bit.tgz -C maya2019Installer
$ cd maya2019Installer/
$ sudo dpkg -i *.deb
$ echo "int main (void) {return 0;}" > mayainstall.c
$ gcc mayainstall.c
$ sudo cp -v a.out /usr/bin/rpm
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libtbb.so /usr/lib/x86_64-linux-gnu/libtbb_preview.so.2
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libtiff.so /usr/lib/libtiff.so.3
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libssl.so /usr/autodesk/maya2019/lib/libssl.so.10
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libcrypto.so /usr/autodesk/maya2019/lib/libcrypto.so.10
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libGL.so.1 /usr/autodesk/maya2019/lib/libGL.so
$ sudo ln -sf /usr/lib/x86_64-linux-gnu/libssl.so.1.0.0 /usr/autodesk/maya2019/lib/libssl.so.10
$ chmod +x setup
$ sudo ./setup
$ sudo mkdir -p /usr/tmp
$ sudo chmod 777 /usr/tmp
$ mkdir -p ~/maya/2019 ~/maya/2019/syncColor/Shared
$ echo "MAYA_DISABLE_CIP=1" >> ~/maya/2019/Maya.en
$ echo "LC_ALL=C" >> ~/maya/2019/Maya.env
$ chmod -Rfv 777 ~/maya
$ xset +fp /usr/share/fonts/X11/100dpi/
$ xset +fp /usr/share/fonts/X11/75dpi/
$ xset fp rehash
$ gsettings set org.gnome.desktop.wm.preferences mouse-button-modifier "<Super>"
$ sudo rm -v /usr/bin/rpm
$ sudo mv -v /usr/bin/rpm_backup /usr/bin/rpm
put libpng15.zip from drive download link in ~/Downloads
unzip -x ~/Downloads/libpng15.zip
cd ~/Downloads/libpng15
$ sudo cp ./libpng* /usr/autodesk/maya2019/lib
Synaptic manager -> libpcre16 -> libpcre16-3
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libpcre16.so.3 /usr/autodesk/maya2019/lib/libpcre16.so.0
$ sudo apt install libfam0
$ sudo mkdir -pv /usr/local/libpng/lib
$ sudo cp -v libpng15.so.15* /usr/local/libpng/lib
$ sudo ln -sv /usr/local/libpng/lib/libpng15.so.15 /usr/lib/x86_64-linux-gnu/
#it will ask to remove. read and remove
$ sudo rm -iv /usr/lib/x86_64-linux-gnu/libpng15.so.15
$ sudo rm -irv /usr/local/libpng/
#enable install of latest nvidia drv
$ sudo add-apt-repository ppa:graphics-drivers/ppa
#solvs gpu start issues
$ sudo ln -s /usr/lib/x86_64-linux-gnu/libGL.so.1 /usr/autodesk/maya2019/lib/libGL.so
$ sudo ln -sf /usr/lib/x86_64-linux-gnu/libssl.so.1.0.0 /usr/autodesk/maya2019/lib/libssl.so.10
#PySide, PyQT install
$ sudo apt install python-qt4
after this open maya from menu and not from terminal. This will work like a charm. Any issues please let me know.
download libpng15.zip
https://drive.google.com/file/d/1A4KeQjelcjC5m3FP26ZbnPrFqQ491SC8/view