Azahara DelaTorre

From fractional Lane–Emden–Serrin equation—existence, multiplicity and local behaviors via classical ODE—to fractional Yamabe metrics with singularity of “maximal” dimension

Point singularities of solutions to the classical Lane–Emden–Serrin equation have a polyhomogeneous asymptotic expansion whose logarithmic corrections are determined by a first order ODE. Surprisingly, we are able to discover such an ODE for the fractional Lane–Emden–Serrin equat...