Positivity of the infimum eigenvalue for equations of
-Laplace type in
1 Department of Mathematics, Incheon National University, Incheon, 406-772, Republic of Korea
2 Department of Mathematics Education, Sangmyung University, Seoul, 110-743, Republic of Korea
Boundary Value Problems 2013, 2013:214 doi:10.1186/1687-2770-2013-214Published: 2 October 2013
We study the following elliptic equations with variable exponents
Under suitable conditions on ϕ and f, we show the existence of positivity of the infimum of all eigenvalues for the problem above, and then give an example to demonstrate our main result.
MSC: 35D30, 35J60, 35J92, 35P30, 47J10.