Quasicritical elliptic equation involving 1-Laplacian operator with Robin and Neumann Boundary conditions
摘要
In this work, we investigate the existence of solutions for quasicritical elliptic equations involving the 1-Laplacian operator with Robin and Neumann boundary conditions. Assuming that the nonlinearity satisfies suitable hypotheses, we establish the existence of solutions using approximation techniques. To overcome the challenges associated with the lack of compactness, we employ the Vitali Convergence Theorem.