Premium
Existence of solutions for degenerate elliptic equations with singular potential on conical singular manifolds
Author(s) -
Chen Hua,
Wei Yawei,
Zhou Bin
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100088
Subject(s) - mathematics , conical surface , degenerate energy levels , singular solution , mathematical analysis , dirichlet problem , dirichlet distribution , cone (formal languages) , pure mathematics , geometry , boundary value problem , physics , algorithm , quantum mechanics
In this work, we study the Dirichlet problem for a class of degenerate elliptic equations with singular potential on conical singular manifolds. By using the cone Sobolev inequality and Hardy inequality, the existence of nontrivial solutions has been proved.