We provide the existence of a solution for quasilinear elliptic equation in under the Neumann boundary condition. Here, we consider the condition that as and as . As a special case, our result implies that the following -Laplace equation has at least one solution: in on for every , , and with . Moreover, in the nonresonant case, that is, is not an eigenvalue of the -Laplacian with weight , we present the existence of a solution of the above -Laplace equation for every , and .
"Existence Results for Quasilinear Elliptic Equations with Indefinite Weight." Abstr. Appl. Anal. 2012 (SI17) 1 - 31, 2012. https://doi.org/10.1155/2012/568120