Existence of Solutions to a Superlinear p-Laplacian Equation
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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.
CitationLiu, S. (2001). Existence of solutions to a superlinear p-Laplacian equation. Electronic Journal of Differential Equations, 2001(66), pp. 1-6.
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