We consider the equations involving the one-dimensional -Laplacian , and where and . We show the existence of sign-changing solutions under the assumptions and . We also show that has exactly one solution having specified nodal properties for for some . Our main results are based on quadrature method.
"Existence of Sign-Changing Solutions to Equations Involving the One-Dimensional -Laplacian." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/810193