ABSTRACT
A Lyapunov-type inequality is established for the partial differential equation: where , , a<b, is an open bounded subset in , , is the differential operator given by , , , and . Next, some sign-changing criteria are obtained for the nontrivial solutions to the considered problem.
Acknowledgements
The first and third authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding of this research through the Research Group Project No RGP-1436-034.
Disclosure statement
No potential conflict of interest was reported by the authors.