further cleaning; the equation is *clearly* Liouville (1853) and Bratu (1914) so will try to adjust names appropriately
further cleaning; the equation is *clearly* Liouville (1853) and Bratu (1914) so will try to adjust names appropriately

bueler/p4pdes,bueler/p4pdes,bueler/p4pdes,bueler/p4pdes