Multiple solutions for some strongly degenerate second order elliptic equations

Autor:	Junior, João R. Santos, Siciliano, Gaetano
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We consider a boundary value problem in a bounded domain involving a degenerate operator of the form $$L(u)=-\textrm{div} (a(x)\nabla u)$$ and a suitable nonlinearity $f$. The function $a$ vanishes on smooth 1-codimensional submanifolds of $\Omega$ where it is not allowed to be $C^{2}$. By using weighted Sobolev spaces we are still able to find existence of solutions which vanish, in the trace sense, on the set where $a$ vanishes. Comment: Comments and suggestions are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.01951 Zobrazit plný text záznamu View this record from Arxiv