Existence of Solutions to a Superlinear p-Laplacian Equation
Southwest Texas State University, Department of Mathematics
Using Morse theory, we establish the existence of solutions to the equation -∆pu = ƒ(x, u) with Dirichlet boundary conditions. We assume that ∫s0 ƒ(x, t) dt lies between the first two eigenvalues of the p-Laplacian.
p-Laplacian, Critical group
Liu, S. (2001). Existence of solutions to a superlinear p-Laplacian equation. <i>Electronic Journal of Differential Equations, 2001</i>(66), pp. 1-6.