A class of Ambrosetti-Prodi type elliptic systems with singular potential

초록

We get a theorem which shows the existence of at least one nontrivial solution for a class of Ambrosetti-Prodi type elliptic systems with singular potential. We obtain this result by using the variational method and the critical point theory. 2010 Mathematics Subject Classification: 35J50, 35J55 Key Words and Phrases: elliptic system, reduction method, $(P.S.)$ condition, critical point theory, variational method