Existence of Solutions to a Superlinear p-Laplacian Equation
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Date
2001-10-11
Authors
Liu, Shibo
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
p-Laplacian, Critical group
Citation
Liu, S. (2001). Existence of solutions to a superlinear p-Laplacian equation. <i>Electronic Journal of Differential Equations, 2001</i>(66), pp. 1-6.