Existence of multiple solutions with precise sign information for superlinear Neumann problems
The authors consider a nonlinear Neumann problem involving \(p\)-Laplacian operator and a \((p-1)\) superlinear growth near infinity. They establish the existence of multiple constant sign solutions and nodal solutions by variational methods with truncation techniques and the use of ordered pairs of upper and lower solutions. Finally the semilinear case has been also considered.
scientific article; zbMATH DE number 5607376
scientific article